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Finding the Fourth Proportional to 17,868.15, 24,657.66 and 9,910.20

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Solution

The fourth proportional to 17,868.15, 24,657.66 and 9,910.20 is: 13,675.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,868.15 : 24,657.66 = 9,910.20 : x
  2. Step 2: Convert to fraction form
    17,868.15/24,657.66 = 9,910.20/x
  3. Step 3: Cross multiply
    17,868.15x = 24,657.66 × 9,910.20
  4. Step 4: Simplify right side
    17,868.15x = 244,362,342.13
  5. Step 5: Solve for x
    x = 244,362,342.13/17,868.15
  6. Step 6: Final answer
    x = 13,675.86

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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.