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Finding the Fourth Proportional to 14,321.80, 19,763.80 and 8,034.16

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Solution

The fourth proportional to 14,321.80, 19,763.80 and 8,034.16 is: 11,086.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,321.80 : 19,763.80 = 8,034.16 : x
  2. Step 2: Convert to fraction form
    14,321.80/19,763.80 = 8,034.16/x
  3. Step 3: Cross multiply
    14,321.80x = 19,763.80 × 8,034.16
  4. Step 4: Simplify right side
    14,321.80x = 158,785,531.41
  5. Step 5: Solve for x
    x = 158,785,531.41/14,321.80
  6. Step 6: Final answer
    x = 11,086.98

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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.