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Finding the Fourth Proportional to 13,386, 18,473.16 and 8,079.78

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Solution

The fourth proportional to 13,386, 18,473.16 and 8,079.78 is: 11,150.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,386 : 18,473.16 = 8,079.78 : x
  2. Step 2: Convert to fraction form
    13,386/18,473.16 = 8,079.78/x
  3. Step 3: Cross multiply
    13,386x = 18,473.16 × 8,079.78
  4. Step 4: Simplify right side
    13,386x = 149,259,068.70
  5. Step 5: Solve for x
    x = 149,259,068.70/13,386
  6. Step 6: Final answer
    x = 11,150.39

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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.