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Finding the Fourth Proportional to 20,340, 28,071.36 and 11,963.52

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Solution

The fourth proportional to 20,340, 28,071.36 and 11,963.52 is: 16,510.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,340 : 28,071.36 = 11,963.52 : x
  2. Step 2: Convert to fraction form
    20,340/28,071.36 = 11,963.52/x
  3. Step 3: Cross multiply
    20,340x = 28,071.36 × 11,963.52
  4. Step 4: Simplify right side
    20,340x = 335,832,276.79
  5. Step 5: Solve for x
    x = 335,832,276.79/20,340
  6. Step 6: Final answer
    x = 16,510.93

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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.