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Finding the Fourth Proportional to 23,197.29, 32,012.25 and 12,586.92

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Solution

The fourth proportional to 23,197.29, 32,012.25 and 12,586.92 is: 17,369.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,197.29 : 32,012.25 = 12,586.92 : x
  2. Step 2: Convert to fraction form
    23,197.29/32,012.25 = 12,586.92/x
  3. Step 3: Cross multiply
    23,197.29x = 32,012.25 × 12,586.92
  4. Step 4: Simplify right side
    23,197.29x = 402,935,549.74
  5. Step 5: Solve for x
    x = 402,935,549.74/23,197.29
  6. Step 6: Final answer
    x = 17,369.94

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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.