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Finding the Fourth Proportional to 17,447, 24,077.36 and 9,489.28

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Solution

The fourth proportional to 17,447, 24,077.36 and 9,489.28 is: 13,095.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,447 : 24,077.36 = 9,489.28 : x
  2. Step 2: Convert to fraction form
    17,447/24,077.36 = 9,489.28/x
  3. Step 3: Cross multiply
    17,447x = 24,077.36 × 9,489.28
  4. Step 4: Simplify right side
    17,447x = 228,476,810.70
  5. Step 5: Solve for x
    x = 228,476,810.70/17,447
  6. Step 6: Final answer
    x = 13,095.48

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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.