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Finding the Fourth Proportional to 17,769, 24,521.22 and 10,317

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Solution

The fourth proportional to 17,769, 24,521.22 and 10,317 is: 14,237.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,769 : 24,521.22 = 10,317 : x
  2. Step 2: Convert to fraction form
    17,769/24,521.22 = 10,317/x
  3. Step 3: Cross multiply
    17,769x = 24,521.22 × 10,317
  4. Step 4: Simplify right side
    17,769x = 252,985,426.74
  5. Step 5: Solve for x
    x = 252,985,426.74/17,769
  6. Step 6: Final answer
    x = 14,237.46

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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.