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Finding the Fourth Proportional to 14,419.96, 19,901.08 and 8,456.64

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Solution

The fourth proportional to 14,419.96, 19,901.08 and 8,456.64 is: 11,671.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,419.96 : 19,901.08 = 8,456.64 : x
  2. Step 2: Convert to fraction form
    14,419.96/19,901.08 = 8,456.64/x
  3. Step 3: Cross multiply
    14,419.96x = 19,901.08 × 8,456.64
  4. Step 4: Simplify right side
    14,419.96x = 168,296,269.17
  5. Step 5: Solve for x
    x = 168,296,269.17/14,419.96
  6. Step 6: Final answer
    x = 11,671.06

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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.