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Finding the Fourth Proportional to 20,970.38, 28,939.32 and 11,539.14

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Solution

The fourth proportional to 20,970.38, 28,939.32 and 11,539.14 is: 15,924.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,970.38 : 28,939.32 = 11,539.14 : x
  2. Step 2: Convert to fraction form
    20,970.38/28,939.32 = 11,539.14/x
  3. Step 3: Cross multiply
    20,970.38x = 28,939.32 × 11,539.14
  4. Step 4: Simplify right side
    20,970.38x = 333,934,864.98
  5. Step 5: Solve for x
    x = 333,934,864.98/20,970.38
  6. Step 6: Final answer
    x = 15,924.12

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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.