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Finding the Fourth Proportional to 22,640.49, 31,262.22 and 14,152.50

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Solution

The fourth proportional to 22,640.49, 31,262.22 and 14,152.50 is: 19,541.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,640.49 : 31,262.22 = 14,152.50 : x
  2. Step 2: Convert to fraction form
    22,640.49/31,262.22 = 14,152.50/x
  3. Step 3: Cross multiply
    22,640.49x = 31,262.22 × 14,152.50
  4. Step 4: Simplify right side
    22,640.49x = 442,438,568.55
  5. Step 5: Solve for x
    x = 442,438,568.55/22,640.49
  6. Step 6: Final answer
    x = 19,541.92

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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.