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Finding the Fourth Proportional to 15,177.88, 22,769.43 and 4,647.64

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Solution

The fourth proportional to 15,177.88, 22,769.43 and 4,647.64 is: 6,972.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,177.88 : 22,769.43 = 4,647.64 : x
  2. Step 2: Convert to fraction form
    15,177.88/22,769.43 = 4,647.64/x
  3. Step 3: Cross multiply
    15,177.88x = 22,769.43 × 4,647.64
  4. Step 4: Simplify right side
    15,177.88x = 105,824,113.65
  5. Step 5: Solve for x
    x = 105,824,113.65/15,177.88
  6. Step 6: Final answer
    x = 6,972.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.