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Finding the Fourth Proportional to 14,587.16, 20,123.96 and 8,922.16

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Solution

The fourth proportional to 14,587.16, 20,123.96 and 8,922.16 is: 12,308.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,587.16 : 20,123.96 = 8,922.16 : x
  2. Step 2: Convert to fraction form
    14,587.16/20,123.96 = 8,922.16/x
  3. Step 3: Cross multiply
    14,587.16x = 20,123.96 × 8,922.16
  4. Step 4: Simplify right side
    14,587.16x = 179,549,190.95
  5. Step 5: Solve for x
    x = 179,549,190.95/14,587.16
  6. Step 6: Final answer
    x = 12,308.71

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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.