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Finding the Fourth Proportional to 25,178.42, 37,710.02 and 12,039.86

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Solution

The fourth proportional to 25,178.42, 37,710.02 and 12,039.86 is: 18,032.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,178.42 : 37,710.02 = 12,039.86 : x
  2. Step 2: Convert to fraction form
    25,178.42/37,710.02 = 12,039.86/x
  3. Step 3: Cross multiply
    25,178.42x = 37,710.02 × 12,039.86
  4. Step 4: Simplify right side
    25,178.42x = 454,023,361.40
  5. Step 5: Solve for x
    x = 454,023,361.40/25,178.42
  6. Step 6: Final answer
    x = 18,032.24

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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.