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Finding the Fourth Proportional to 27,705.84, 38,225.04 and 16,375.68

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Solution

The fourth proportional to 27,705.84, 38,225.04 and 16,375.68 is: 22,593.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,705.84 : 38,225.04 = 16,375.68 : x
  2. Step 2: Convert to fraction form
    27,705.84/38,225.04 = 16,375.68/x
  3. Step 3: Cross multiply
    27,705.84x = 38,225.04 × 16,375.68
  4. Step 4: Simplify right side
    27,705.84x = 625,961,023.03
  5. Step 5: Solve for x
    x = 625,961,023.03/27,705.84
  6. Step 6: Final answer
    x = 22,593.11

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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.