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Finding the Fourth Proportional to 15,486.42, 21,364.38 and 9,195.14

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Solution

The fourth proportional to 15,486.42, 21,364.38 and 9,195.14 is: 12,685.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,486.42 : 21,364.38 = 9,195.14 : x
  2. Step 2: Convert to fraction form
    15,486.42/21,364.38 = 9,195.14/x
  3. Step 3: Cross multiply
    15,486.42x = 21,364.38 × 9,195.14
  4. Step 4: Simplify right side
    15,486.42x = 196,448,465.11
  5. Step 5: Solve for x
    x = 196,448,465.11/15,486.42
  6. Step 6: Final answer
    x = 12,685.21

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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.