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Finding the Fourth Proportional to 22,657.43, 31,266.24 and 12,586.57

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Solution

The fourth proportional to 22,657.43, 31,266.24 and 12,586.57 is: 17,368.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,657.43 : 31,266.24 = 12,586.57 : x
  2. Step 2: Convert to fraction form
    22,657.43/31,266.24 = 12,586.57/x
  3. Step 3: Cross multiply
    22,657.43x = 31,266.24 × 12,586.57
  4. Step 4: Simplify right side
    22,657.43x = 393,534,718.40
  5. Step 5: Solve for x
    x = 393,534,718.40/22,657.43
  6. Step 6: Final answer
    x = 17,368.90

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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.