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Finding the Fourth Proportional to 23,019.74, 31,766.55 and 12,948.74

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Solution

The fourth proportional to 23,019.74, 31,766.55 and 12,948.74 is: 17,868.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,019.74 : 31,766.55 = 12,948.74 : x
  2. Step 2: Convert to fraction form
    23,019.74/31,766.55 = 12,948.74/x
  3. Step 3: Cross multiply
    23,019.74x = 31,766.55 × 12,948.74
  4. Step 4: Simplify right side
    23,019.74x = 411,336,796.65
  5. Step 5: Solve for x
    x = 411,336,796.65/23,019.74
  6. Step 6: Final answer
    x = 17,868.87

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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.