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Finding the Fourth Proportional to 24,212.84, 36,319.28 and 7,572.96

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Solution

The fourth proportional to 24,212.84, 36,319.28 and 7,572.96 is: 11,359.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,212.84 : 36,319.28 = 7,572.96 : x
  2. Step 2: Convert to fraction form
    24,212.84/36,319.28 = 7,572.96/x
  3. Step 3: Cross multiply
    24,212.84x = 36,319.28 × 7,572.96
  4. Step 4: Simplify right side
    24,212.84x = 275,044,454.67
  5. Step 5: Solve for x
    x = 275,044,454.67/24,212.84
  6. Step 6: Final answer
    x = 11,359.45

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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.