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Finding the Fourth Proportional to 17,866.74, 24,657.22 and 10,314.46

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Solution

The fourth proportional to 17,866.74, 24,657.22 and 10,314.46 is: 14,234.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,866.74 : 24,657.22 = 10,314.46 : x
  2. Step 2: Convert to fraction form
    17,866.74/24,657.22 = 10,314.46/x
  3. Step 3: Cross multiply
    17,866.74x = 24,657.22 × 10,314.46
  4. Step 4: Simplify right side
    17,866.74x = 254,325,909.40
  5. Step 5: Solve for x
    x = 254,325,909.40/17,866.74
  6. Step 6: Final answer
    x = 14,234.60

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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.