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Finding the Fourth Proportional to 23,917.80, 35,860.47 and 13,395.06

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Solution

The fourth proportional to 23,917.80, 35,860.47 and 13,395.06 is: 20,083.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,917.80 : 35,860.47 = 13,395.06 : x
  2. Step 2: Convert to fraction form
    23,917.80/35,860.47 = 13,395.06/x
  3. Step 3: Cross multiply
    23,917.80x = 35,860.47 × 13,395.06
  4. Step 4: Simplify right side
    23,917.80x = 480,353,147.28
  5. Step 5: Solve for x
    x = 480,353,147.28/23,917.80
  6. Step 6: Final answer
    x = 20,083.50

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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.