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Finding the Fourth Proportional to 22,697.29, 34,045.93 and 7,116.13

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Solution

The fourth proportional to 22,697.29, 34,045.93 and 7,116.13 is: 10,674.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,697.29 : 34,045.93 = 7,116.13 : x
  2. Step 2: Convert to fraction form
    22,697.29/34,045.93 = 7,116.13/x
  3. Step 3: Cross multiply
    22,697.29x = 34,045.93 × 7,116.13
  4. Step 4: Simplify right side
    22,697.29x = 242,275,093.62
  5. Step 5: Solve for x
    x = 242,275,093.62/22,697.29
  6. Step 6: Final answer
    x = 10,674.19

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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.