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Finding the Fourth Proportional to 15,286.42, 22,931.90 and 5,424.87

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Solution

The fourth proportional to 15,286.42, 22,931.90 and 5,424.87 is: 8,138.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,286.42 : 22,931.90 = 5,424.87 : x
  2. Step 2: Convert to fraction form
    15,286.42/22,931.90 = 5,424.87/x
  3. Step 3: Cross multiply
    15,286.42x = 22,931.90 × 5,424.87
  4. Step 4: Simplify right side
    15,286.42x = 124,402,541.83
  5. Step 5: Solve for x
    x = 124,402,541.83/15,286.42
  6. Step 6: Final answer
    x = 8,138.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.