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Finding the Fourth Proportional to 20,703.14, 28,566.32 and 14,319.38

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Solution

The fourth proportional to 20,703.14, 28,566.32 and 14,319.38 is: 19,757.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,703.14 : 28,566.32 = 14,319.38 : x
  2. Step 2: Convert to fraction form
    20,703.14/28,566.32 = 14,319.38/x
  3. Step 3: Cross multiply
    20,703.14x = 28,566.32 × 14,319.38
  4. Step 4: Simplify right side
    20,703.14x = 409,052,071.65
  5. Step 5: Solve for x
    x = 409,052,071.65/20,703.14
  6. Step 6: Final answer
    x = 19,757.97

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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.