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Finding the Fourth Proportional to 15,654, 21,602.52 and 9,033.84

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Solution

The fourth proportional to 15,654, 21,602.52 and 9,033.84 is: 12,466.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,654 : 21,602.52 = 9,033.84 : x
  2. Step 2: Convert to fraction form
    15,654/21,602.52 = 9,033.84/x
  3. Step 3: Cross multiply
    15,654x = 21,602.52 × 9,033.84
  4. Step 4: Simplify right side
    15,654x = 195,153,709.28
  5. Step 5: Solve for x
    x = 195,153,709.28/15,654
  6. Step 6: Final answer
    x = 12,466.70

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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.