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Finding the Fourth Proportional to 15,202.28, 20,981.88 and 9,070.38

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Solution

The fourth proportional to 15,202.28, 20,981.88 and 9,070.38 is: 12,518.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,202.28 : 20,981.88 = 9,070.38 : x
  2. Step 2: Convert to fraction form
    15,202.28/20,981.88 = 9,070.38/x
  3. Step 3: Cross multiply
    15,202.28x = 20,981.88 × 9,070.38
  4. Step 4: Simplify right side
    15,202.28x = 190,313,624.71
  5. Step 5: Solve for x
    x = 190,313,624.71/15,202.28
  6. Step 6: Final answer
    x = 12,518.75

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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.