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Finding the Fourth Proportional to 15,859.13, 23,763.98 and 5,993.02

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Solution

The fourth proportional to 15,859.13, 23,763.98 and 5,993.02 is: 8,980.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,859.13 : 23,763.98 = 5,993.02 : x
  2. Step 2: Convert to fraction form
    15,859.13/23,763.98 = 5,993.02/x
  3. Step 3: Cross multiply
    15,859.13x = 23,763.98 × 5,993.02
  4. Step 4: Simplify right side
    15,859.13x = 142,418,052.11
  5. Step 5: Solve for x
    x = 142,418,052.11/15,859.13
  6. Step 6: Final answer
    x = 8,980.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.