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Finding the Fourth Proportional to 24,199.66, 36,298.18 and 7,557.78

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Solution

The fourth proportional to 24,199.66, 36,298.18 and 7,557.78 is: 11,336.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,199.66 : 36,298.18 = 7,557.78 : x
  2. Step 2: Convert to fraction form
    24,199.66/36,298.18 = 7,557.78/x
  3. Step 3: Cross multiply
    24,199.66x = 36,298.18 × 7,557.78
  4. Step 4: Simplify right side
    24,199.66x = 274,333,658.84
  5. Step 5: Solve for x
    x = 274,333,658.84/24,199.66
  6. Step 6: Final answer
    x = 11,336.26

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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.