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Finding the Fourth Proportional to 24,832.80, 37,217.52 and 11,656.08

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Solution

The fourth proportional to 24,832.80, 37,217.52 and 11,656.08 is: 17,469.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,832.80 : 37,217.52 = 11,656.08 : x
  2. Step 2: Convert to fraction form
    24,832.80/37,217.52 = 11,656.08/x
  3. Step 3: Cross multiply
    24,832.80x = 37,217.52 × 11,656.08
  4. Step 4: Simplify right side
    24,832.80x = 433,810,390.52
  5. Step 5: Solve for x
    x = 433,810,390.52/24,832.80
  6. Step 6: Final answer
    x = 17,469.25

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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.