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Finding the Fourth Proportional to 15,919.16, 23,847.20 and 10,909.22

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Solution

The fourth proportional to 15,919.16, 23,847.20 and 10,909.22 is: 16,342.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,919.16 : 23,847.20 = 10,909.22 : x
  2. Step 2: Convert to fraction form
    15,919.16/23,847.20 = 10,909.22/x
  3. Step 3: Cross multiply
    15,919.16x = 23,847.20 × 10,909.22
  4. Step 4: Simplify right side
    15,919.16x = 260,154,218.31
  5. Step 5: Solve for x
    x = 260,154,218.31/15,919.16
  6. Step 6: Final answer
    x = 16,342.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.