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Finding the Fourth Proportional to 14,587.91, 20,133.78 and 8,454.71

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Solution

The fourth proportional to 14,587.91, 20,133.78 and 8,454.71 is: 11,668.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,587.91 : 20,133.78 = 8,454.71 : x
  2. Step 2: Convert to fraction form
    14,587.91/20,133.78 = 8,454.71/x
  3. Step 3: Cross multiply
    14,587.91x = 20,133.78 × 8,454.71
  4. Step 4: Simplify right side
    14,587.91x = 170,225,170.43
  5. Step 5: Solve for x
    x = 170,225,170.43/14,587.91
  6. Step 6: Final answer
    x = 11,668.92

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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.