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Finding the Fourth Proportional to 17,778.25, 24,533.62 and 9,712

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Solution

The fourth proportional to 17,778.25, 24,533.62 and 9,712 is: 13,402.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,778.25 : 24,533.62 = 9,712 : x
  2. Step 2: Convert to fraction form
    17,778.25/24,533.62 = 9,712/x
  3. Step 3: Cross multiply
    17,778.25x = 24,533.62 × 9,712
  4. Step 4: Simplify right side
    17,778.25x = 238,270,517.44
  5. Step 5: Solve for x
    x = 238,270,517.44/17,778.25
  6. Step 6: Final answer
    x = 13,402.36

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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.