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Finding the Fourth Proportional to 15,902.28, 21,946.14 and 9,189.14

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Solution

The fourth proportional to 15,902.28, 21,946.14 and 9,189.14 is: 12,681.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,902.28 : 21,946.14 = 9,189.14 : x
  2. Step 2: Convert to fraction form
    15,902.28/21,946.14 = 9,189.14/x
  3. Step 3: Cross multiply
    15,902.28x = 21,946.14 × 9,189.14
  4. Step 4: Simplify right side
    15,902.28x = 201,666,043.19
  5. Step 5: Solve for x
    x = 201,666,043.19/15,902.28
  6. Step 6: Final answer
    x = 12,681.58

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.