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Finding the Fourth Proportional to 23,113.49, 31,896.50 and 12,503.10

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Solution

The fourth proportional to 23,113.49, 31,896.50 and 12,503.10 is: 17,254.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,113.49 : 31,896.50 = 12,503.10 : x
  2. Step 2: Convert to fraction form
    23,113.49/31,896.50 = 12,503.10/x
  3. Step 3: Cross multiply
    23,113.49x = 31,896.50 × 12,503.10
  4. Step 4: Simplify right side
    23,113.49x = 398,805,160.41
  5. Step 5: Solve for x
    x = 398,805,160.41/23,113.49
  6. Step 6: Final answer
    x = 17,254.21

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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.