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Finding the Fourth Proportional to 22,983.60, 31,716.18 and 12,912.47

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Solution

The fourth proportional to 22,983.60, 31,716.18 and 12,912.47 is: 17,818.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,983.60 : 31,716.18 = 12,912.47 : x
  2. Step 2: Convert to fraction form
    22,983.60/31,716.18 = 12,912.47/x
  3. Step 3: Cross multiply
    22,983.60x = 31,716.18 × 12,912.47
  4. Step 4: Simplify right side
    22,983.60x = 409,534,064.18
  5. Step 5: Solve for x
    x = 409,534,064.18/22,983.60
  6. Step 6: Final answer
    x = 17,818.53

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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.