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Finding the Fourth Proportional to 16,040.72, 24,051.85 and 6,178.71

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Solution

The fourth proportional to 16,040.72, 24,051.85 and 6,178.71 is: 9,264.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,040.72 : 24,051.85 = 6,178.71 : x
  2. Step 2: Convert to fraction form
    16,040.72/24,051.85 = 6,178.71/x
  3. Step 3: Cross multiply
    16,040.72x = 24,051.85 × 6,178.71
  4. Step 4: Simplify right side
    16,040.72x = 148,609,480.86
  5. Step 5: Solve for x
    x = 148,609,480.86/16,040.72
  6. Step 6: Final answer
    x = 9,264.51

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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.