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Finding the Fourth Proportional to 16,462.90, 22,718.80 and 8,909.23

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Solution

The fourth proportional to 16,462.90, 22,718.80 and 8,909.23 is: 12,294.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,462.90 : 22,718.80 = 8,909.23 : x
  2. Step 2: Convert to fraction form
    16,462.90/22,718.80 = 8,909.23/x
  3. Step 3: Cross multiply
    16,462.90x = 22,718.80 × 8,909.23
  4. Step 4: Simplify right side
    16,462.90x = 202,407,100.42
  5. Step 5: Solve for x
    x = 202,407,100.42/16,462.90
  6. Step 6: Final answer
    x = 12,294.74

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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.