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Finding the Fourth Proportional to 27,530.72, 41,302.08 and 10,000

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Solution

The fourth proportional to 27,530.72, 41,302.08 and 10,000 is: 15,002.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,530.72 : 41,302.08 = 10,000 : x
  2. Step 2: Convert to fraction form
    27,530.72/41,302.08 = 10,000/x
  3. Step 3: Cross multiply
    27,530.72x = 41,302.08 × 10,000
  4. Step 4: Simplify right side
    27,530.72x = 413,020,800
  5. Step 5: Solve for x
    x = 413,020,800/27,530.72
  6. Step 6: Final answer
    x = 15,002.18

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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.