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Finding the Fourth Proportional to 16,417.92, 24,629.76 and 7,181.76

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Solution

The fourth proportional to 16,417.92, 24,629.76 and 7,181.76 is: 10,773.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,417.92 : 24,629.76 = 7,181.76 : x
  2. Step 2: Convert to fraction form
    16,417.92/24,629.76 = 7,181.76/x
  3. Step 3: Cross multiply
    16,417.92x = 24,629.76 × 7,181.76
  4. Step 4: Simplify right side
    16,417.92x = 176,885,025.18
  5. Step 5: Solve for x
    x = 176,885,025.18/16,417.92
  6. Step 6: Final answer
    x = 10,773.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.