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Finding the Fourth Proportional to 16,241.32, 24,371.70 and 7,007.32

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Solution

The fourth proportional to 16,241.32, 24,371.70 and 7,007.32 is: 10,515.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,241.32 : 24,371.70 = 7,007.32 : x
  2. Step 2: Convert to fraction form
    16,241.32/24,371.70 = 7,007.32/x
  3. Step 3: Cross multiply
    16,241.32x = 24,371.70 × 7,007.32
  4. Step 4: Simplify right side
    16,241.32x = 170,780,331.31
  5. Step 5: Solve for x
    x = 170,780,331.31/16,241.32
  6. Step 6: Final answer
    x = 10,515.17

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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.