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Finding the Fourth Proportional to 27,063.84, 40,599 and 9,530.04

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Solution

The fourth proportional to 27,063.84, 40,599 and 9,530.04 is: 14,296.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,063.84 : 40,599 = 9,530.04 : x
  2. Step 2: Convert to fraction form
    27,063.84/40,599 = 9,530.04/x
  3. Step 3: Cross multiply
    27,063.84x = 40,599 × 9,530.04
  4. Step 4: Simplify right side
    27,063.84x = 386,910,093.96
  5. Step 5: Solve for x
    x = 386,910,093.96/27,063.84
  6. Step 6: Final answer
    x = 14,296.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.