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Finding the Fourth Proportional to 27,861.84, 38,429.65 and 16,522.25

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Solution

The fourth proportional to 27,861.84, 38,429.65 and 16,522.25 is: 22,789.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,861.84 : 38,429.65 = 16,522.25 : x
  2. Step 2: Convert to fraction form
    27,861.84/38,429.65 = 16,522.25/x
  3. Step 3: Cross multiply
    27,861.84x = 38,429.65 × 16,522.25
  4. Step 4: Simplify right side
    27,861.84x = 634,944,113.22
  5. Step 5: Solve for x
    x = 634,944,113.22/27,861.84
  6. Step 6: Final answer
    x = 22,789.02

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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.