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Finding the Fourth Proportional to 23,141.61, 31,934.78 and 13,710.17

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Solution

The fourth proportional to 23,141.61, 31,934.78 and 13,710.17 is: 18,919.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,141.61 : 31,934.78 = 13,710.17 : x
  2. Step 2: Convert to fraction form
    23,141.61/31,934.78 = 13,710.17/x
  3. Step 3: Cross multiply
    23,141.61x = 31,934.78 × 13,710.17
  4. Step 4: Simplify right side
    23,141.61x = 437,831,262.71
  5. Step 5: Solve for x
    x = 437,831,262.71/23,141.61
  6. Step 6: Final answer
    x = 18,919.65

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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.