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Finding the Fourth Proportional to 16,411.75, 24,621.27 and 6,023.50

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Solution

The fourth proportional to 16,411.75, 24,621.27 and 6,023.50 is: 9,036.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,411.75 : 24,621.27 = 6,023.50 : x
  2. Step 2: Convert to fraction form
    16,411.75/24,621.27 = 6,023.50/x
  3. Step 3: Cross multiply
    16,411.75x = 24,621.27 × 6,023.50
  4. Step 4: Simplify right side
    16,411.75x = 148,306,219.85
  5. Step 5: Solve for x
    x = 148,306,219.85/16,411.75
  6. Step 6: Final answer
    x = 9,036.59

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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.