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Finding the Fourth Proportional to 15,833.16, 23,757.84 and 6,480.09

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Solution

The fourth proportional to 15,833.16, 23,757.84 and 6,480.09 is: 9,723.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,833.16 : 23,757.84 = 6,480.09 : x
  2. Step 2: Convert to fraction form
    15,833.16/23,757.84 = 6,480.09/x
  3. Step 3: Cross multiply
    15,833.16x = 23,757.84 × 6,480.09
  4. Step 4: Simplify right side
    15,833.16x = 153,952,941.41
  5. Step 5: Solve for x
    x = 153,952,941.41/15,833.16
  6. Step 6: Final answer
    x = 9,723.45

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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.