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Finding the Fourth Proportional to 15,924.51, 23,886.77 and 7,149.17

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Solution

The fourth proportional to 15,924.51, 23,886.77 and 7,149.17 is: 10,723.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,924.51 : 23,886.77 = 7,149.17 : x
  2. Step 2: Convert to fraction form
    15,924.51/23,886.77 = 7,149.17/x
  3. Step 3: Cross multiply
    15,924.51x = 23,886.77 × 7,149.17
  4. Step 4: Simplify right side
    15,924.51x = 170,770,603.45
  5. Step 5: Solve for x
    x = 170,770,603.45/15,924.51
  6. Step 6: Final answer
    x = 10,723.76

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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.