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Finding the Fourth Proportional to 16,006.40, 23,995.20 and 10,462.40

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Solution

The fourth proportional to 16,006.40, 23,995.20 and 10,462.40 is: 15,684.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,006.40 : 23,995.20 = 10,462.40 : x
  2. Step 2: Convert to fraction form
    16,006.40/23,995.20 = 10,462.40/x
  3. Step 3: Cross multiply
    16,006.40x = 23,995.20 × 10,462.40
  4. Step 4: Simplify right side
    16,006.40x = 251,047,380.48
  5. Step 5: Solve for x
    x = 251,047,380.48/16,006.40
  6. Step 6: Final answer
    x = 15,684.19

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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.