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Finding the Fourth Proportional to 14,327.65, 19,769.47 and 8,357.83

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Solution

The fourth proportional to 14,327.65, 19,769.47 and 8,357.83 is: 11,532.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,327.65 : 19,769.47 = 8,357.83 : x
  2. Step 2: Convert to fraction form
    14,327.65/19,769.47 = 8,357.83/x
  3. Step 3: Cross multiply
    14,327.65x = 19,769.47 × 8,357.83
  4. Step 4: Simplify right side
    14,327.65x = 165,229,799.13
  5. Step 5: Solve for x
    x = 165,229,799.13/14,327.65
  6. Step 6: Final answer
    x = 11,532.24

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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.