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Finding the Fourth Proportional to 19,632, 29,460.96 and 9,244.56

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Solution

The fourth proportional to 19,632, 29,460.96 and 9,244.56 is: 13,872.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,632 : 29,460.96 = 9,244.56 : x
  2. Step 2: Convert to fraction form
    19,632/29,460.96 = 9,244.56/x
  3. Step 3: Cross multiply
    19,632x = 29,460.96 × 9,244.56
  4. Step 4: Simplify right side
    19,632x = 272,353,612.38
  5. Step 5: Solve for x
    x = 272,353,612.38/19,632
  6. Step 6: Final answer
    x = 13,872.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.