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Finding the Fourth Proportional to 23,778.32, 32,812.98 and 13,708.56

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Solution

The fourth proportional to 23,778.32, 32,812.98 and 13,708.56 is: 18,917.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,778.32 : 32,812.98 = 13,708.56 : x
  2. Step 2: Convert to fraction form
    23,778.32/32,812.98 = 13,708.56/x
  3. Step 3: Cross multiply
    23,778.32x = 32,812.98 × 13,708.56
  4. Step 4: Simplify right side
    23,778.32x = 449,818,705.11
  5. Step 5: Solve for x
    x = 449,818,705.11/23,778.32
  6. Step 6: Final answer
    x = 18,917.18

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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.