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Finding the Fourth Proportional to 15,441.66, 23,162.49 and 6,205.50

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Solution

The fourth proportional to 15,441.66, 23,162.49 and 6,205.50 is: 9,308.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,441.66 : 23,162.49 = 6,205.50 : x
  2. Step 2: Convert to fraction form
    15,441.66/23,162.49 = 6,205.50/x
  3. Step 3: Cross multiply
    15,441.66x = 23,162.49 × 6,205.50
  4. Step 4: Simplify right side
    15,441.66x = 143,734,831.70
  5. Step 5: Solve for x
    x = 143,734,831.70/15,441.66
  6. Step 6: Final answer
    x = 9,308.25

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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.