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Finding the Fourth Proportional to 20,980.71, 28,952.78 and 11,549.07

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Solution

The fourth proportional to 20,980.71, 28,952.78 and 11,549.07 is: 15,937.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,980.71 : 28,952.78 = 11,549.07 : x
  2. Step 2: Convert to fraction form
    20,980.71/28,952.78 = 11,549.07/x
  3. Step 3: Cross multiply
    20,980.71x = 28,952.78 × 11,549.07
  4. Step 4: Simplify right side
    20,980.71x = 334,377,625.17
  5. Step 5: Solve for x
    x = 334,377,625.17/20,980.71
  6. Step 6: Final answer
    x = 15,937.38

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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.