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Finding the Fourth Proportional to 12,647.52, 18,970.68 and 3,882.52

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Solution

The fourth proportional to 12,647.52, 18,970.68 and 3,882.52 is: 5,823.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,647.52 : 18,970.68 = 3,882.52 : x
  2. Step 2: Convert to fraction form
    12,647.52/18,970.68 = 3,882.52/x
  3. Step 3: Cross multiply
    12,647.52x = 18,970.68 × 3,882.52
  4. Step 4: Simplify right side
    12,647.52x = 73,654,044.51
  5. Step 5: Solve for x
    x = 73,654,044.51/12,647.52
  6. Step 6: Final answer
    x = 5,823.60

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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.