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Finding the Fourth Proportional to 13,669, 18,843.97 and 10,315.60

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Solution

The fourth proportional to 13,669, 18,843.97 and 10,315.60 is: 14,221.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,669 : 18,843.97 = 10,315.60 : x
  2. Step 2: Convert to fraction form
    13,669/18,843.97 = 10,315.60/x
  3. Step 3: Cross multiply
    13,669x = 18,843.97 × 10,315.60
  4. Step 4: Simplify right side
    13,669x = 194,386,856.93
  5. Step 5: Solve for x
    x = 194,386,856.93/13,669
  6. Step 6: Final answer
    x = 14,221.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.