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Finding the Fourth Proportional to 23,113.66, 31,896.69 and 12,503.14

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Solution

The fourth proportional to 23,113.66, 31,896.69 and 12,503.14 is: 17,254.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,113.66 : 31,896.69 = 12,503.14 : x
  2. Step 2: Convert to fraction form
    23,113.66/31,896.69 = 12,503.14/x
  3. Step 3: Cross multiply
    23,113.66x = 31,896.69 × 12,503.14
  4. Step 4: Simplify right side
    23,113.66x = 398,808,780.61
  5. Step 5: Solve for x
    x = 398,808,780.61/23,113.66
  6. Step 6: Final answer
    x = 17,254.25

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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.