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Finding the Fourth Proportional to 15,261.31, 22,873.48 and 6,477.78

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Solution

The fourth proportional to 15,261.31, 22,873.48 and 6,477.78 is: 9,708.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,261.31 : 22,873.48 = 6,477.78 : x
  2. Step 2: Convert to fraction form
    15,261.31/22,873.48 = 6,477.78/x
  3. Step 3: Cross multiply
    15,261.31x = 22,873.48 × 6,477.78
  4. Step 4: Simplify right side
    15,261.31x = 148,169,371.27
  5. Step 5: Solve for x
    x = 148,169,371.27/15,261.31
  6. Step 6: Final answer
    x = 9,708.82

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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.