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Finding the Fourth Proportional to 19,817.52, 29,549.10 and 19,273.20

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Solution

The fourth proportional to 19,817.52, 29,549.10 and 19,273.20 is: 28,737.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,817.52 : 29,549.10 = 19,273.20 : x
  2. Step 2: Convert to fraction form
    19,817.52/29,549.10 = 19,273.20/x
  3. Step 3: Cross multiply
    19,817.52x = 29,549.10 × 19,273.20
  4. Step 4: Simplify right side
    19,817.52x = 569,505,714.12
  5. Step 5: Solve for x
    x = 569,505,714.12/19,817.52
  6. Step 6: Final answer
    x = 28,737.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.