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Finding the Fourth Proportional to 17,847.78, 24,629.74 and 9,781.50

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Solution

The fourth proportional to 17,847.78, 24,629.74 and 9,781.50 is: 13,498.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,847.78 : 24,629.74 = 9,781.50 : x
  2. Step 2: Convert to fraction form
    17,847.78/24,629.74 = 9,781.50/x
  3. Step 3: Cross multiply
    17,847.78x = 24,629.74 × 9,781.50
  4. Step 4: Simplify right side
    17,847.78x = 240,915,801.81
  5. Step 5: Solve for x
    x = 240,915,801.81/17,847.78
  6. Step 6: Final answer
    x = 13,498.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.