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Finding the Fourth Proportional to 24,005.60, 35,997.60 and 9,209.60

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Solution

The fourth proportional to 24,005.60, 35,997.60 and 9,209.60 is: 13,810.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,005.60 : 35,997.60 = 9,209.60 : x
  2. Step 2: Convert to fraction form
    24,005.60/35,997.60 = 9,209.60/x
  3. Step 3: Cross multiply
    24,005.60x = 35,997.60 × 9,209.60
  4. Step 4: Simplify right side
    24,005.60x = 331,523,496.96
  5. Step 5: Solve for x
    x = 331,523,496.96/24,005.60
  6. Step 6: Final answer
    x = 13,810.26

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1.5x scale

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.