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Finding the Fourth Proportional to 15,977.31, 22,048.77 and 9,266.91

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Solution

The fourth proportional to 15,977.31, 22,048.77 and 9,266.91 is: 12,788.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,977.31 : 22,048.77 = 9,266.91 : x
  2. Step 2: Convert to fraction form
    15,977.31/22,048.77 = 9,266.91/x
  3. Step 3: Cross multiply
    15,977.31x = 22,048.77 × 9,266.91
  4. Step 4: Simplify right side
    15,977.31x = 204,323,967.20
  5. Step 5: Solve for x
    x = 204,323,967.20/15,977.31
  6. Step 6: Final answer
    x = 12,788.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.