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Finding the Fourth Proportional to 20,808.46, 28,707.51 and 13,252.78

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Solution

The fourth proportional to 20,808.46, 28,707.51 and 13,252.78 is: 18,283.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,808.46 : 28,707.51 = 13,252.78 : x
  2. Step 2: Convert to fraction form
    20,808.46/28,707.51 = 13,252.78/x
  3. Step 3: Cross multiply
    20,808.46x = 28,707.51 × 13,252.78
  4. Step 4: Simplify right side
    20,808.46x = 380,454,314.38
  5. Step 5: Solve for x
    x = 380,454,314.38/20,808.46
  6. Step 6: Final answer
    x = 18,283.64

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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.