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Finding the Fourth Proportional to 19,632, 29,448 and 5,040

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Solution

The fourth proportional to 19,632, 29,448 and 5,040 is: 7,560

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,632 : 29,448 = 5,040 : x
  2. Step 2: Convert to fraction form
    19,632/29,448 = 5,040/x
  3. Step 3: Cross multiply
    19,632x = 29,448 × 5,040
  4. Step 4: Simplify right side
    19,632x = 148,417,920
  5. Step 5: Solve for x
    x = 148,417,920/19,632
  6. Step 6: Final answer
    x = 7,560

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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.