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Finding the Fourth Proportional to 17,632.74, 24,332.75 and 9,871.46

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Solution

The fourth proportional to 17,632.74, 24,332.75 and 9,871.46 is: 13,622.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,632.74 : 24,332.75 = 9,871.46 : x
  2. Step 2: Convert to fraction form
    17,632.74/24,332.75 = 9,871.46/x
  3. Step 3: Cross multiply
    17,632.74x = 24,332.75 × 9,871.46
  4. Step 4: Simplify right side
    17,632.74x = 240,199,646.65
  5. Step 5: Solve for x
    x = 240,199,646.65/17,632.74
  6. Step 6: Final answer
    x = 13,622.37

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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.