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Finding the Fourth Proportional to 24,387.80, 36,581.70 and 19,430.60

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Solution

The fourth proportional to 24,387.80, 36,581.70 and 19,430.60 is: 29,145.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,387.80 : 36,581.70 = 19,430.60 : x
  2. Step 2: Convert to fraction form
    24,387.80/36,581.70 = 19,430.60/x
  3. Step 3: Cross multiply
    24,387.80x = 36,581.70 × 19,430.60
  4. Step 4: Simplify right side
    24,387.80x = 710,804,380.02
  5. Step 5: Solve for x
    x = 710,804,380.02/24,387.80
  6. Step 6: Final answer
    x = 29,145.90

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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.