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Finding the Fourth Proportional to 15,445.86, 21,304.04 and 9,781.53

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Solution

The fourth proportional to 15,445.86, 21,304.04 and 9,781.53 is: 13,491.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,445.86 : 21,304.04 = 9,781.53 : x
  2. Step 2: Convert to fraction form
    15,445.86/21,304.04 = 9,781.53/x
  3. Step 3: Cross multiply
    15,445.86x = 21,304.04 × 9,781.53
  4. Step 4: Simplify right side
    15,445.86x = 208,386,057.47
  5. Step 5: Solve for x
    x = 208,386,057.47/15,445.86
  6. Step 6: Final answer
    x = 13,491.39

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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.