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Finding the Fourth Proportional to 22,947.84, 31,658.04 and 13,993.92

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Solution

The fourth proportional to 22,947.84, 31,658.04 and 13,993.92 is: 19,305.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,947.84 : 31,658.04 = 13,993.92 : x
  2. Step 2: Convert to fraction form
    22,947.84/31,658.04 = 13,993.92/x
  3. Step 3: Cross multiply
    22,947.84x = 31,658.04 × 13,993.92
  4. Step 4: Simplify right side
    22,947.84x = 443,020,079.12
  5. Step 5: Solve for x
    x = 443,020,079.12/22,947.84
  6. Step 6: Final answer
    x = 19,305.52

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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.