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Finding the Fourth Proportional to 23,197.17, 32,012.07 and 12,586.80

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Solution

The fourth proportional to 23,197.17, 32,012.07 and 12,586.80 is: 17,369.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,197.17 : 32,012.07 = 12,586.80 : x
  2. Step 2: Convert to fraction form
    23,197.17/32,012.07 = 12,586.80/x
  3. Step 3: Cross multiply
    23,197.17x = 32,012.07 × 12,586.80
  4. Step 4: Simplify right side
    23,197.17x = 402,929,522.68
  5. Step 5: Solve for x
    x = 402,929,522.68/23,197.17
  6. Step 6: Final answer
    x = 17,369.77

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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.