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Finding the Fourth Proportional to 17,374.90, 23,977.38 and 9,417.10

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Solution

The fourth proportional to 17,374.90, 23,977.38 and 9,417.10 is: 12,995.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,374.90 : 23,977.38 = 9,417.10 : x
  2. Step 2: Convert to fraction form
    17,374.90/23,977.38 = 9,417.10/x
  3. Step 3: Cross multiply
    17,374.90x = 23,977.38 × 9,417.10
  4. Step 4: Simplify right side
    17,374.90x = 225,797,385.20
  5. Step 5: Solve for x
    x = 225,797,385.20/17,374.90
  6. Step 6: Final answer
    x = 12,995.61

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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.