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Finding the Fourth Proportional to 17,765.83, 24,516.68 and 9,807.88

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Solution

The fourth proportional to 17,765.83, 24,516.68 and 9,807.88 is: 13,534.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,765.83 : 24,516.68 = 9,807.88 : x
  2. Step 2: Convert to fraction form
    17,765.83/24,516.68 = 9,807.88/x
  3. Step 3: Cross multiply
    17,765.83x = 24,516.68 × 9,807.88
  4. Step 4: Simplify right side
    17,765.83x = 240,456,532.86
  5. Step 5: Solve for x
    x = 240,456,532.86/17,765.83
  6. Step 6: Final answer
    x = 13,534.78

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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.