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Finding the Fourth Proportional to 24,196.80, 36,298.44 and 7,557.96

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Solution

The fourth proportional to 24,196.80, 36,298.44 and 7,557.96 is: 11,337.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,196.80 : 36,298.44 = 7,557.96 : x
  2. Step 2: Convert to fraction form
    24,196.80/36,298.44 = 7,557.96/x
  3. Step 3: Cross multiply
    24,196.80x = 36,298.44 × 7,557.96
  4. Step 4: Simplify right side
    24,196.80x = 274,342,157.58
  5. Step 5: Solve for x
    x = 274,342,157.58/24,196.80
  6. Step 6: Final answer
    x = 11,337.95

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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.