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Finding the Fourth Proportional to 23,295.68, 32,143.76 and 13,738.57

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Solution

The fourth proportional to 23,295.68, 32,143.76 and 13,738.57 is: 18,956.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,295.68 : 32,143.76 = 13,738.57 : x
  2. Step 2: Convert to fraction form
    23,295.68/32,143.76 = 13,738.57/x
  3. Step 3: Cross multiply
    23,295.68x = 32,143.76 × 13,738.57
  4. Step 4: Simplify right side
    23,295.68x = 441,609,136.10
  5. Step 5: Solve for x
    x = 441,609,136.10/23,295.68
  6. Step 6: Final answer
    x = 18,956.70

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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.