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Finding the Fourth Proportional to 14,419.14, 19,897.29 and 8,449.98

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Solution

The fourth proportional to 14,419.14, 19,897.29 and 8,449.98 is: 11,660.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,419.14 : 19,897.29 = 8,449.98 : x
  2. Step 2: Convert to fraction form
    14,419.14/19,897.29 = 8,449.98/x
  3. Step 3: Cross multiply
    14,419.14x = 19,897.29 × 8,449.98
  4. Step 4: Simplify right side
    14,419.14x = 168,131,702.55
  5. Step 5: Solve for x
    x = 168,131,702.55/14,419.14
  6. Step 6: Final answer
    x = 11,660.31

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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.