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Finding the Fourth Proportional to 15,854.64, 23,782.98 and 5,324.23

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Solution

The fourth proportional to 15,854.64, 23,782.98 and 5,324.23 is: 7,986.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,854.64 : 23,782.98 = 5,324.23 : x
  2. Step 2: Convert to fraction form
    15,854.64/23,782.98 = 5,324.23/x
  3. Step 3: Cross multiply
    15,854.64x = 23,782.98 × 5,324.23
  4. Step 4: Simplify right side
    15,854.64x = 126,626,055.61
  5. Step 5: Solve for x
    x = 126,626,055.61/15,854.64
  6. Step 6: Final answer
    x = 7,986.69

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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.