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Finding the Fourth Proportional to 17,765.61, 24,516.54 and 9,807.84

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Solution

The fourth proportional to 17,765.61, 24,516.54 and 9,807.84 is: 13,534.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,765.61 : 24,516.54 = 9,807.84 : x
  2. Step 2: Convert to fraction form
    17,765.61/24,516.54 = 9,807.84/x
  3. Step 3: Cross multiply
    17,765.61x = 24,516.54 × 9,807.84
  4. Step 4: Simplify right side
    17,765.61x = 240,454,301.67
  5. Step 5: Solve for x
    x = 240,454,301.67/17,765.61
  6. Step 6: Final answer
    x = 13,534.82

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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.