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Finding the Fourth Proportional to 22,774.50, 34,157.88 and 6,130.83

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Solution

The fourth proportional to 22,774.50, 34,157.88 and 6,130.83 is: 9,195.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,774.50 : 34,157.88 = 6,130.83 : x
  2. Step 2: Convert to fraction form
    22,774.50/34,157.88 = 6,130.83/x
  3. Step 3: Cross multiply
    22,774.50x = 34,157.88 × 6,130.83
  4. Step 4: Simplify right side
    22,774.50x = 209,416,155.44
  5. Step 5: Solve for x
    x = 209,416,155.44/22,774.50
  6. Step 6: Final answer
    x = 9,195.20

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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.