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Finding the Fourth Proportional to 16,411.57, 24,619.20 and 6,023.32

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Solution

The fourth proportional to 16,411.57, 24,619.20 and 6,023.32 is: 9,035.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,411.57 : 24,619.20 = 6,023.32 : x
  2. Step 2: Convert to fraction form
    16,411.57/24,619.20 = 6,023.32/x
  3. Step 3: Cross multiply
    16,411.57x = 24,619.20 × 6,023.32
  4. Step 4: Simplify right side
    16,411.57x = 148,289,319.74
  5. Step 5: Solve for x
    x = 148,289,319.74/16,411.57
  6. Step 6: Final answer
    x = 9,035.66

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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.