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Finding the Fourth Proportional to 16,281.50, 24,417.38 and 6,921.48

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Solution

The fourth proportional to 16,281.50, 24,417.38 and 6,921.48 is: 10,380.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,281.50 : 24,417.38 = 6,921.48 : x
  2. Step 2: Convert to fraction form
    16,281.50/24,417.38 = 6,921.48/x
  3. Step 3: Cross multiply
    16,281.50x = 24,417.38 × 6,921.48
  4. Step 4: Simplify right side
    16,281.50x = 169,004,407.32
  5. Step 5: Solve for x
    x = 169,004,407.32/16,281.50
  6. Step 6: Final answer
    x = 10,380.15

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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.