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Finding the Fourth Proportional to 17,632, 24,332.16 and 10,180

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Solution

The fourth proportional to 17,632, 24,332.16 and 10,180 is: 14,048.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,632 : 24,332.16 = 10,180 : x
  2. Step 2: Convert to fraction form
    17,632/24,332.16 = 10,180/x
  3. Step 3: Cross multiply
    17,632x = 24,332.16 × 10,180
  4. Step 4: Simplify right side
    17,632x = 247,701,388.80
  5. Step 5: Solve for x
    x = 247,701,388.80/17,632
  6. Step 6: Final answer
    x = 14,048.40

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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.