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Finding the Fourth Proportional to 22,697.13, 34,045.70 and 7,114.75

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Solution

The fourth proportional to 22,697.13, 34,045.70 and 7,114.75 is: 10,672.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,697.13 : 34,045.70 = 7,114.75 : x
  2. Step 2: Convert to fraction form
    22,697.13/34,045.70 = 7,114.75/x
  3. Step 3: Cross multiply
    22,697.13x = 34,045.70 × 7,114.75
  4. Step 4: Simplify right side
    22,697.13x = 242,226,644.08
  5. Step 5: Solve for x
    x = 242,226,644.08/22,697.13
  6. Step 6: Final answer
    x = 10,672.13

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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.