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Finding the Fourth Proportional to 14,578.80, 20,116.92 and 8,291.28

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Solution

The fourth proportional to 14,578.80, 20,116.92 and 8,291.28 is: 11,440.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,578.80 : 20,116.92 = 8,291.28 : x
  2. Step 2: Convert to fraction form
    14,578.80/20,116.92 = 8,291.28/x
  3. Step 3: Cross multiply
    14,578.80x = 20,116.92 × 8,291.28
  4. Step 4: Simplify right side
    14,578.80x = 166,795,016.46
  5. Step 5: Solve for x
    x = 166,795,016.46/14,578.80
  6. Step 6: Final answer
    x = 11,440.93

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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.