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Finding the Fourth Proportional to 23,019.64, 31,768.05 and 12,948.55

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Solution

The fourth proportional to 23,019.64, 31,768.05 and 12,948.55 is: 17,869.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,019.64 : 31,768.05 = 12,948.55 : x
  2. Step 2: Convert to fraction form
    23,019.64/31,768.05 = 12,948.55/x
  3. Step 3: Cross multiply
    23,019.64x = 31,768.05 × 12,948.55
  4. Step 4: Simplify right side
    23,019.64x = 411,350,183.83
  5. Step 5: Solve for x
    x = 411,350,183.83/23,019.64
  6. Step 6: Final answer
    x = 17,869.53

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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.