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Finding the Fourth Proportional to 15,242.82, 22,867.06 and 6,923.42

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Solution

The fourth proportional to 15,242.82, 22,867.06 and 6,923.42 is: 10,386.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,242.82 : 22,867.06 = 6,923.42 : x
  2. Step 2: Convert to fraction form
    15,242.82/22,867.06 = 6,923.42/x
  3. Step 3: Cross multiply
    15,242.82x = 22,867.06 × 6,923.42
  4. Step 4: Simplify right side
    15,242.82x = 158,318,260.55
  5. Step 5: Solve for x
    x = 158,318,260.55/15,242.82
  6. Step 6: Final answer
    x = 10,386.42

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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.