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Finding the Fourth Proportional to 19,531.50, 29,272.87 and 9,528

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Solution

The fourth proportional to 19,531.50, 29,272.87 and 9,528 is: 14,280.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,531.50 : 29,272.87 = 9,528 : x
  2. Step 2: Convert to fraction form
    19,531.50/29,272.87 = 9,528/x
  3. Step 3: Cross multiply
    19,531.50x = 29,272.87 × 9,528
  4. Step 4: Simplify right side
    19,531.50x = 278,911,905.36
  5. Step 5: Solve for x
    x = 278,911,905.36/19,531.50
  6. Step 6: Final answer
    x = 14,280.11

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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.