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Finding the Fourth Proportional to 16,406.10, 24,586.10 and 9,375.59

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Solution

The fourth proportional to 16,406.10, 24,586.10 and 9,375.59 is: 14,050.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,406.10 : 24,586.10 = 9,375.59 : x
  2. Step 2: Convert to fraction form
    16,406.10/24,586.10 = 9,375.59/x
  3. Step 3: Cross multiply
    16,406.10x = 24,586.10 × 9,375.59
  4. Step 4: Simplify right side
    16,406.10x = 230,509,023.49
  5. Step 5: Solve for x
    x = 230,509,023.49/16,406.10
  6. Step 6: Final answer
    x = 14,050.20

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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.