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Finding the Fourth Proportional to 17,632.59, 24,332.78 and 9,674.81

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Solution

The fourth proportional to 17,632.59, 24,332.78 and 9,674.81 is: 13,351.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,632.59 : 24,332.78 = 9,674.81 : x
  2. Step 2: Convert to fraction form
    17,632.59/24,332.78 = 9,674.81/x
  3. Step 3: Cross multiply
    17,632.59x = 24,332.78 × 9,674.81
  4. Step 4: Simplify right side
    17,632.59x = 235,415,023.27
  5. Step 5: Solve for x
    x = 235,415,023.27/17,632.59
  6. Step 6: Final answer
    x = 13,351.13

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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.