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Finding the Fourth Proportional to 18,539.14, 25,595.64 and 14,282.19

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Solution

The fourth proportional to 18,539.14, 25,595.64 and 14,282.19 is: 19,718.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,539.14 : 25,595.64 = 14,282.19 : x
  2. Step 2: Convert to fraction form
    18,539.14/25,595.64 = 14,282.19/x
  3. Step 3: Cross multiply
    18,539.14x = 25,595.64 × 14,282.19
  4. Step 4: Simplify right side
    18,539.14x = 365,561,793.65
  5. Step 5: Solve for x
    x = 365,561,793.65/18,539.14
  6. Step 6: Final answer
    x = 19,718.38

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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.