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Finding the Fourth Proportional to 23,323.50, 32,186.82 and 12,713.72

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Solution

The fourth proportional to 23,323.50, 32,186.82 and 12,713.72 is: 17,545.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,323.50 : 32,186.82 = 12,713.72 : x
  2. Step 2: Convert to fraction form
    23,323.50/32,186.82 = 12,713.72/x
  3. Step 3: Cross multiply
    23,323.50x = 32,186.82 × 12,713.72
  4. Step 4: Simplify right side
    23,323.50x = 409,214,217.17
  5. Step 5: Solve for x
    x = 409,214,217.17/23,323.50
  6. Step 6: Final answer
    x = 17,545.15

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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.