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Finding the Fourth Proportional to 23,113.61, 31,896.76 and 12,503.22

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Solution

The fourth proportional to 23,113.61, 31,896.76 and 12,503.22 is: 17,254.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,113.61 : 31,896.76 = 12,503.22 : x
  2. Step 2: Convert to fraction form
    23,113.61/31,896.76 = 12,503.22/x
  3. Step 3: Cross multiply
    23,113.61x = 31,896.76 × 12,503.22
  4. Step 4: Simplify right side
    23,113.61x = 398,812,176.31
  5. Step 5: Solve for x
    x = 398,812,176.31/23,113.61
  6. Step 6: Final answer
    x = 17,254.43

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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.