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Finding the Fourth Proportional to 17,765.69, 24,516.49 and 9,807.74

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Solution

The fourth proportional to 17,765.69, 24,516.49 and 9,807.74 is: 13,534.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,765.69 : 24,516.49 = 9,807.74 : x
  2. Step 2: Convert to fraction form
    17,765.69/24,516.49 = 9,807.74/x
  3. Step 3: Cross multiply
    17,765.69x = 24,516.49 × 9,807.74
  4. Step 4: Simplify right side
    17,765.69x = 240,451,433.18
  5. Step 5: Solve for x
    x = 240,451,433.18/17,765.69
  6. Step 6: Final answer
    x = 13,534.60

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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.