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Finding the Fourth Proportional to 22,349.84, 33,529.08 and 8,497.76

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Solution

The fourth proportional to 22,349.84, 33,529.08 and 8,497.76 is: 12,748.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,349.84 : 33,529.08 = 8,497.76 : x
  2. Step 2: Convert to fraction form
    22,349.84/33,529.08 = 8,497.76/x
  3. Step 3: Cross multiply
    22,349.84x = 33,529.08 × 8,497.76
  4. Step 4: Simplify right side
    22,349.84x = 284,922,074.86
  5. Step 5: Solve for x
    x = 284,922,074.86/22,349.84
  6. Step 6: Final answer
    x = 12,748.28

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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.