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Finding the Fourth Proportional to 15,220, 22,832.88 and 7,012

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Solution

The fourth proportional to 15,220, 22,832.88 and 7,012 is: 10,519.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,220 : 22,832.88 = 7,012 : x
  2. Step 2: Convert to fraction form
    15,220/22,832.88 = 7,012/x
  3. Step 3: Cross multiply
    15,220x = 22,832.88 × 7,012
  4. Step 4: Simplify right side
    15,220x = 160,104,154.56
  5. Step 5: Solve for x
    x = 160,104,154.56/15,220
  6. Step 6: Final answer
    x = 10,519.33

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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.