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Finding the Fourth Proportional to 22,586.40, 31,166.65 and 12,512.32

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Solution

The fourth proportional to 22,586.40, 31,166.65 and 12,512.32 is: 17,265.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,586.40 : 31,166.65 = 12,512.32 : x
  2. Step 2: Convert to fraction form
    22,586.40/31,166.65 = 12,512.32/x
  3. Step 3: Cross multiply
    22,586.40x = 31,166.65 × 12,512.32
  4. Step 4: Simplify right side
    22,586.40x = 389,967,098.13
  5. Step 5: Solve for x
    x = 389,967,098.13/22,586.40
  6. Step 6: Final answer
    x = 17,265.57

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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.