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Finding the Fourth Proportional to 27,001.16, 40,501.80 and 9,467

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Solution

The fourth proportional to 27,001.16, 40,501.80 and 9,467 is: 14,200.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,001.16 : 40,501.80 = 9,467 : x
  2. Step 2: Convert to fraction form
    27,001.16/40,501.80 = 9,467/x
  3. Step 3: Cross multiply
    27,001.16x = 40,501.80 × 9,467
  4. Step 4: Simplify right side
    27,001.16x = 383,430,540.60
  5. Step 5: Solve for x
    x = 383,430,540.60/27,001.16
  6. Step 6: Final answer
    x = 14,200.52

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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.