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Finding the Fourth Proportional to 13,248, 19,854.96 and 10,116.48

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Solution

The fourth proportional to 13,248, 19,854.96 and 10,116.48 is: 15,161.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,248 : 19,854.96 = 10,116.48 : x
  2. Step 2: Convert to fraction form
    13,248/19,854.96 = 10,116.48/x
  3. Step 3: Cross multiply
    13,248x = 19,854.96 × 10,116.48
  4. Step 4: Simplify right side
    13,248x = 200,862,305.74
  5. Step 5: Solve for x
    x = 200,862,305.74/13,248
  6. Step 6: Final answer
    x = 15,161.71

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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.