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Finding the Fourth Proportional to 13,288.97, 19,935.90 and 5,498.39

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Solution

The fourth proportional to 13,288.97, 19,935.90 and 5,498.39 is: 8,248.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,288.97 : 19,935.90 = 5,498.39 : x
  2. Step 2: Convert to fraction form
    13,288.97/19,935.90 = 5,498.39/x
  3. Step 3: Cross multiply
    13,288.97x = 19,935.90 × 5,498.39
  4. Step 4: Simplify right side
    13,288.97x = 109,615,403.04
  5. Step 5: Solve for x
    x = 109,615,403.04/13,288.97
  6. Step 6: Final answer
    x = 8,248.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.