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Finding the Fourth Proportional to 17,866.78, 24,656.30 and 9,909.14

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Solution

The fourth proportional to 17,866.78, 24,656.30 and 9,909.14 is: 13,674.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,866.78 : 24,656.30 = 9,909.14 : x
  2. Step 2: Convert to fraction form
    17,866.78/24,656.30 = 9,909.14/x
  3. Step 3: Cross multiply
    17,866.78x = 24,656.30 × 9,909.14
  4. Step 4: Simplify right side
    17,866.78x = 244,322,592.91
  5. Step 5: Solve for x
    x = 244,322,592.91/17,866.78
  6. Step 6: Final answer
    x = 13,674.69

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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.