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Finding the Fourth Proportional to 22,807.40, 31,474.19 and 12,735.83

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Solution

The fourth proportional to 22,807.40, 31,474.19 and 12,735.83 is: 17,575.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,807.40 : 31,474.19 = 12,735.83 : x
  2. Step 2: Convert to fraction form
    22,807.40/31,474.19 = 12,735.83/x
  3. Step 3: Cross multiply
    22,807.40x = 31,474.19 × 12,735.83
  4. Step 4: Simplify right side
    22,807.40x = 400,849,712.18
  5. Step 5: Solve for x
    x = 400,849,712.18/22,807.40
  6. Step 6: Final answer
    x = 17,575.43

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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.