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Finding the Fourth Proportional to 14,414.59, 19,897.10 and 8,448.19

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Solution

The fourth proportional to 14,414.59, 19,897.10 and 8,448.19 is: 11,661.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,414.59 : 19,897.10 = 8,448.19 : x
  2. Step 2: Convert to fraction form
    14,414.59/19,897.10 = 8,448.19/x
  3. Step 3: Cross multiply
    14,414.59x = 19,897.10 × 8,448.19
  4. Step 4: Simplify right side
    14,414.59x = 168,094,481.25
  5. Step 5: Solve for x
    x = 168,094,481.25/14,414.59
  6. Step 6: Final answer
    x = 11,661.41

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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.