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Finding the Fourth Proportional to 17,487.70, 24,140.02 and 10,412.75

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Solution

The fourth proportional to 17,487.70, 24,140.02 and 10,412.75 is: 14,373.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,487.70 : 24,140.02 = 10,412.75 : x
  2. Step 2: Convert to fraction form
    17,487.70/24,140.02 = 10,412.75/x
  3. Step 3: Cross multiply
    17,487.70x = 24,140.02 × 10,412.75
  4. Step 4: Simplify right side
    17,487.70x = 251,363,993.26
  5. Step 5: Solve for x
    x = 251,363,993.26/17,487.70
  6. Step 6: Final answer
    x = 14,373.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.