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Finding the Fourth Proportional to 22,957.60, 34,387.80 and 18,000.40

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Solution

The fourth proportional to 22,957.60, 34,387.80 and 18,000.40 is: 26,962.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,957.60 : 34,387.80 = 18,000.40 : x
  2. Step 2: Convert to fraction form
    22,957.60/34,387.80 = 18,000.40/x
  3. Step 3: Cross multiply
    22,957.60x = 34,387.80 × 18,000.40
  4. Step 4: Simplify right side
    22,957.60x = 618,994,155.12
  5. Step 5: Solve for x
    x = 618,994,155.12/22,957.60
  6. Step 6: Final answer
    x = 26,962.49

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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.