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Finding the Fourth Proportional to 17,291.58, 23,864.31 and 10,219.74

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Solution

The fourth proportional to 17,291.58, 23,864.31 and 10,219.74 is: 14,104.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,291.58 : 23,864.31 = 10,219.74 : x
  2. Step 2: Convert to fraction form
    17,291.58/23,864.31 = 10,219.74/x
  3. Step 3: Cross multiply
    17,291.58x = 23,864.31 × 10,219.74
  4. Step 4: Simplify right side
    17,291.58x = 243,887,043.48
  5. Step 5: Solve for x
    x = 243,887,043.48/17,291.58
  6. Step 6: Final answer
    x = 14,104.38

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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.