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Finding the Fourth Proportional to 22,729.84, 31,366.30 and 12,658.70

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Solution

The fourth proportional to 22,729.84, 31,366.30 and 12,658.70 is: 17,468.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,729.84 : 31,366.30 = 12,658.70 : x
  2. Step 2: Convert to fraction form
    22,729.84/31,366.30 = 12,658.70/x
  3. Step 3: Cross multiply
    22,729.84x = 31,366.30 × 12,658.70
  4. Step 4: Simplify right side
    22,729.84x = 397,056,581.81
  5. Step 5: Solve for x
    x = 397,056,581.81/22,729.84
  6. Step 6: Final answer
    x = 17,468.52

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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.