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Finding the Fourth Proportional to 24,198.48, 36,298.96 and 6,667.92

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Solution

The fourth proportional to 24,198.48, 36,298.96 and 6,667.92 is: 10,002.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,198.48 : 36,298.96 = 6,667.92 : x
  2. Step 2: Convert to fraction form
    24,198.48/36,298.96 = 6,667.92/x
  3. Step 3: Cross multiply
    24,198.48x = 36,298.96 × 6,667.92
  4. Step 4: Simplify right side
    24,198.48x = 242,038,561.36
  5. Step 5: Solve for x
    x = 242,038,561.36/24,198.48
  6. Step 6: Final answer
    x = 10,002.22

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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.