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Finding the Fourth Proportional to 15,833.66, 23,758.60 and 6,480.60

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Solution

The fourth proportional to 15,833.66, 23,758.60 and 6,480.60 is: 9,724.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,833.66 : 23,758.60 = 6,480.60 : x
  2. Step 2: Convert to fraction form
    15,833.66/23,758.60 = 6,480.60/x
  3. Step 3: Cross multiply
    15,833.66x = 23,758.60 × 6,480.60
  4. Step 4: Simplify right side
    15,833.66x = 153,969,983.16
  5. Step 5: Solve for x
    x = 153,969,983.16/15,833.66
  6. Step 6: Final answer
    x = 9,724.22

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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.