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Finding the Fourth Proportional to 23,034.72, 31,792.26 and 14,424.90

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Solution

The fourth proportional to 23,034.72, 31,792.26 and 14,424.90 is: 19,909.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,034.72 : 31,792.26 = 14,424.90 : x
  2. Step 2: Convert to fraction form
    23,034.72/31,792.26 = 14,424.90/x
  3. Step 3: Cross multiply
    23,034.72x = 31,792.26 × 14,424.90
  4. Step 4: Simplify right side
    23,034.72x = 458,600,171.27
  5. Step 5: Solve for x
    x = 458,600,171.27/23,034.72
  6. Step 6: Final answer
    x = 19,909.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.