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Finding the Fourth Proportional to 24,437.57, 36,656.60 and 7,798.77

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Solution

The fourth proportional to 24,437.57, 36,656.60 and 7,798.77 is: 11,698.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,437.57 : 36,656.60 = 7,798.77 : x
  2. Step 2: Convert to fraction form
    24,437.57/36,656.60 = 7,798.77/x
  3. Step 3: Cross multiply
    24,437.57x = 36,656.60 × 7,798.77
  4. Step 4: Simplify right side
    24,437.57x = 285,876,353.39
  5. Step 5: Solve for x
    x = 285,876,353.39/24,437.57
  6. Step 6: Final answer
    x = 11,698.23

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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.