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Finding the Fourth Proportional to 24,419, 36,406.46 and 22,931.84

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Solution

The fourth proportional to 24,419, 36,406.46 and 22,931.84 is: 34,189.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,419 : 36,406.46 = 22,931.84 : x
  2. Step 2: Convert to fraction form
    24,419/36,406.46 = 22,931.84/x
  3. Step 3: Cross multiply
    24,419x = 36,406.46 × 22,931.84
  4. Step 4: Simplify right side
    24,419x = 834,867,115.69
  5. Step 5: Solve for x
    x = 834,867,115.69/24,419
  6. Step 6: Final answer
    x = 34,189.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.