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Finding the Fourth Proportional to 17,681.78, 24,388.13 and 12,006.68

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Solution

The fourth proportional to 17,681.78, 24,388.13 and 12,006.68 is: 16,560.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,681.78 : 24,388.13 = 12,006.68 : x
  2. Step 2: Convert to fraction form
    17,681.78/24,388.13 = 12,006.68/x
  3. Step 3: Cross multiply
    17,681.78x = 24,388.13 × 12,006.68
  4. Step 4: Simplify right side
    17,681.78x = 292,820,380.78
  5. Step 5: Solve for x
    x = 292,820,380.78/17,681.78
  6. Step 6: Final answer
    x = 16,560.57

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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.