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Finding the Fourth Proportional to 14,854.13, 20,499.10 and 8,566.91

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Solution

The fourth proportional to 14,854.13, 20,499.10 and 8,566.91 is: 11,822.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,854.13 : 20,499.10 = 8,566.91 : x
  2. Step 2: Convert to fraction form
    14,854.13/20,499.10 = 8,566.91/x
  3. Step 3: Cross multiply
    14,854.13x = 20,499.10 × 8,566.91
  4. Step 4: Simplify right side
    14,854.13x = 175,613,820.87
  5. Step 5: Solve for x
    x = 175,613,820.87/14,854.13
  6. Step 6: Final answer
    x = 11,822.56

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