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Finding the Fourth Proportional to 24,812.34, 34,225.92 and 14,733.96

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Solution

The fourth proportional to 24,812.34, 34,225.92 and 14,733.96 is: 20,323.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,812.34 : 34,225.92 = 14,733.96 : x
  2. Step 2: Convert to fraction form
    24,812.34/34,225.92 = 14,733.96/x
  3. Step 3: Cross multiply
    24,812.34x = 34,225.92 × 14,733.96
  4. Step 4: Simplify right side
    24,812.34x = 504,283,336.24
  5. Step 5: Solve for x
    x = 504,283,336.24/24,812.34
  6. Step 6: Final answer
    x = 20,323.89

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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.