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Finding the Fourth Proportional to 18,875.64, 28,286.58 and 13,906.20

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Solution

The fourth proportional to 18,875.64, 28,286.58 and 13,906.20 is: 20,839.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,875.64 : 28,286.58 = 13,906.20 : x
  2. Step 2: Convert to fraction form
    18,875.64/28,286.58 = 13,906.20/x
  3. Step 3: Cross multiply
    18,875.64x = 28,286.58 × 13,906.20
  4. Step 4: Simplify right side
    18,875.64x = 393,358,838.80
  5. Step 5: Solve for x
    x = 393,358,838.80/18,875.64
  6. Step 6: Final answer
    x = 20,839.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.