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Finding the Fourth Proportional to 17,765.13, 24,516 and 9,807.87

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Solution

The fourth proportional to 17,765.13, 24,516 and 9,807.87 is: 13,534.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,765.13 : 24,516 = 9,807.87 : x
  2. Step 2: Convert to fraction form
    17,765.13/24,516 = 9,807.87/x
  3. Step 3: Cross multiply
    17,765.13x = 24,516 × 9,807.87
  4. Step 4: Simplify right side
    17,765.13x = 240,449,740.92
  5. Step 5: Solve for x
    x = 240,449,740.92/17,765.13
  6. Step 6: Final answer
    x = 13,534.93

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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.