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Finding the Fourth Proportional to 16,454.97, 24,684.47 and 5,358.68

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Solution

The fourth proportional to 16,454.97, 24,684.47 and 5,358.68 is: 8,038.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,454.97 : 24,684.47 = 5,358.68 : x
  2. Step 2: Convert to fraction form
    16,454.97/24,684.47 = 5,358.68/x
  3. Step 3: Cross multiply
    16,454.97x = 24,684.47 × 5,358.68
  4. Step 4: Simplify right side
    16,454.97x = 132,276,025.48
  5. Step 5: Solve for x
    x = 132,276,025.48/16,454.97
  6. Step 6: Final answer
    x = 8,038.67

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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.