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Finding the Fourth Proportional to 16,105.34, 24,158.02 and 7,342.76

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Solution

The fourth proportional to 16,105.34, 24,158.02 and 7,342.76 is: 11,014.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,105.34 : 24,158.02 = 7,342.76 : x
  2. Step 2: Convert to fraction form
    16,105.34/24,158.02 = 7,342.76/x
  3. Step 3: Cross multiply
    16,105.34x = 24,158.02 × 7,342.76
  4. Step 4: Simplify right side
    16,105.34x = 177,386,542.94
  5. Step 5: Solve for x
    x = 177,386,542.94/16,105.34
  6. Step 6: Final answer
    x = 11,014.14

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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.