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Finding the Fourth Proportional to 16,407.14, 24,611.07 and 5,877.86

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Solution

The fourth proportional to 16,407.14, 24,611.07 and 5,877.86 is: 8,816.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,407.14 : 24,611.07 = 5,877.86 : x
  2. Step 2: Convert to fraction form
    16,407.14/24,611.07 = 5,877.86/x
  3. Step 3: Cross multiply
    16,407.14x = 24,611.07 × 5,877.86
  4. Step 4: Simplify right side
    16,407.14x = 144,660,300.85
  5. Step 5: Solve for x
    x = 144,660,300.85/16,407.14
  6. Step 6: Final answer
    x = 8,816.91

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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.