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Finding the Fourth Proportional to 24,436.60, 36,656.96 and 7,799

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Solution

The fourth proportional to 24,436.60, 36,656.96 and 7,799 is: 11,699.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,436.60 : 36,656.96 = 7,799 : x
  2. Step 2: Convert to fraction form
    24,436.60/36,656.96 = 7,799/x
  3. Step 3: Cross multiply
    24,436.60x = 36,656.96 × 7,799
  4. Step 4: Simplify right side
    24,436.60x = 285,887,631.04
  5. Step 5: Solve for x
    x = 285,887,631.04/24,436.60
  6. Step 6: Final answer
    x = 11,699.16

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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.