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Finding the Fourth Proportional to 22,299.62, 30,774.06 and 12,228.50

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Solution

The fourth proportional to 22,299.62, 30,774.06 and 12,228.50 is: 16,875.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,299.62 : 30,774.06 = 12,228.50 : x
  2. Step 2: Convert to fraction form
    22,299.62/30,774.06 = 12,228.50/x
  3. Step 3: Cross multiply
    22,299.62x = 30,774.06 × 12,228.50
  4. Step 4: Simplify right side
    22,299.62x = 376,320,592.71
  5. Step 5: Solve for x
    x = 376,320,592.71/22,299.62
  6. Step 6: Final answer
    x = 16,875.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.