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Finding the Fourth Proportional to 22,897.40, 34,350.15 and 8,114.90

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Solution

The fourth proportional to 22,897.40, 34,350.15 and 8,114.90 is: 12,173.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,897.40 : 34,350.15 = 8,114.90 : x
  2. Step 2: Convert to fraction form
    22,897.40/34,350.15 = 8,114.90/x
  3. Step 3: Cross multiply
    22,897.40x = 34,350.15 × 8,114.90
  4. Step 4: Simplify right side
    22,897.40x = 278,748,032.24
  5. Step 5: Solve for x
    x = 278,748,032.24/22,897.40
  6. Step 6: Final answer
    x = 12,173.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.