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Finding the Fourth Proportional to 14,864.94, 20,513.61 and 8,404.20

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Solution

The fourth proportional to 14,864.94, 20,513.61 and 8,404.20 is: 11,597.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,864.94 : 20,513.61 = 8,404.20 : x
  2. Step 2: Convert to fraction form
    14,864.94/20,513.61 = 8,404.20/x
  3. Step 3: Cross multiply
    14,864.94x = 20,513.61 × 8,404.20
  4. Step 4: Simplify right side
    14,864.94x = 172,400,481.16
  5. Step 5: Solve for x
    x = 172,400,481.16/14,864.94
  6. Step 6: Final answer
    x = 11,597.79

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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.