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Finding the Fourth Proportional to 15,142.09, 22,715.94 and 4,613.05

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Solution

The fourth proportional to 15,142.09, 22,715.94 and 4,613.05 is: 6,920.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,142.09 : 22,715.94 = 4,613.05 : x
  2. Step 2: Convert to fraction form
    15,142.09/22,715.94 = 4,613.05/x
  3. Step 3: Cross multiply
    15,142.09x = 22,715.94 × 4,613.05
  4. Step 4: Simplify right side
    15,142.09x = 104,789,812.71
  5. Step 5: Solve for x
    x = 104,789,812.71/15,142.09
  6. Step 6: Final answer
    x = 6,920.43

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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.