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Finding the Fourth Proportional to 13,843.84, 20,732.28 and 9,688

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Solution

The fourth proportional to 13,843.84, 20,732.28 and 9,688 is: 14,508.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,843.84 : 20,732.28 = 9,688 : x
  2. Step 2: Convert to fraction form
    13,843.84/20,732.28 = 9,688/x
  3. Step 3: Cross multiply
    13,843.84x = 20,732.28 × 9,688
  4. Step 4: Simplify right side
    13,843.84x = 200,854,328.64
  5. Step 5: Solve for x
    x = 200,854,328.64/13,843.84
  6. Step 6: Final answer
    x = 14,508.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.