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Finding the Fourth Proportional to 15,542.10, 21,447.66 and 8,468.58

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Solution

The fourth proportional to 15,542.10, 21,447.66 and 8,468.58 is: 11,686.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,542.10 : 21,447.66 = 8,468.58 : x
  2. Step 2: Convert to fraction form
    15,542.10/21,447.66 = 8,468.58/x
  3. Step 3: Cross multiply
    15,542.10x = 21,447.66 × 8,468.58
  4. Step 4: Simplify right side
    15,542.10x = 181,631,224.52
  5. Step 5: Solve for x
    x = 181,631,224.52/15,542.10
  6. Step 6: Final answer
    x = 11,686.40

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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.