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Finding the Fourth Proportional to 15,509.22, 23,275.71 and 7,724.58

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Solution

The fourth proportional to 15,509.22, 23,275.71 and 7,724.58 is: 11,592.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,509.22 : 23,275.71 = 7,724.58 : x
  2. Step 2: Convert to fraction form
    15,509.22/23,275.71 = 7,724.58/x
  3. Step 3: Cross multiply
    15,509.22x = 23,275.71 × 7,724.58
  4. Step 4: Simplify right side
    15,509.22x = 179,795,083.95
  5. Step 5: Solve for x
    x = 179,795,083.95/15,509.22
  6. Step 6: Final answer
    x = 11,592.79

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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.