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Finding the Fourth Proportional to 15,202.60, 22,801.62 and 4,813

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Solution

The fourth proportional to 15,202.60, 22,801.62 and 4,813 is: 7,218.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,202.60 : 22,801.62 = 4,813 : x
  2. Step 2: Convert to fraction form
    15,202.60/22,801.62 = 4,813/x
  3. Step 3: Cross multiply
    15,202.60x = 22,801.62 × 4,813
  4. Step 4: Simplify right side
    15,202.60x = 109,744,197.06
  5. Step 5: Solve for x
    x = 109,744,197.06/15,202.60
  6. Step 6: Final answer
    x = 7,218.78

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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.