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Finding the Fourth Proportional to 20,982, 28,955.16 and 11,550.52

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Solution

The fourth proportional to 20,982, 28,955.16 and 11,550.52 is: 15,939.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,982 : 28,955.16 = 11,550.52 : x
  2. Step 2: Convert to fraction form
    20,982/28,955.16 = 11,550.52/x
  3. Step 3: Cross multiply
    20,982x = 28,955.16 × 11,550.52
  4. Step 4: Simplify right side
    20,982x = 334,447,154.68
  5. Step 5: Solve for x
    x = 334,447,154.68/20,982
  6. Step 6: Final answer
    x = 15,939.72

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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.