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Finding the Fourth Proportional to 22,773.06, 34,156.50 and 6,134.10

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Solution

The fourth proportional to 22,773.06, 34,156.50 and 6,134.10 is: 9,200.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,773.06 : 34,156.50 = 6,134.10 : x
  2. Step 2: Convert to fraction form
    22,773.06/34,156.50 = 6,134.10/x
  3. Step 3: Cross multiply
    22,773.06x = 34,156.50 × 6,134.10
  4. Step 4: Simplify right side
    22,773.06x = 209,519,386.65
  5. Step 5: Solve for x
    x = 209,519,386.65/22,773.06
  6. Step 6: Final answer
    x = 9,200.32

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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.