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Finding the Fourth Proportional to 13,498.39, 20,248.06 and 3,637.91

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Solution

The fourth proportional to 13,498.39, 20,248.06 and 3,637.91 is: 5,456.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,498.39 : 20,248.06 = 3,637.91 : x
  2. Step 2: Convert to fraction form
    13,498.39/20,248.06 = 3,637.91/x
  3. Step 3: Cross multiply
    13,498.39x = 20,248.06 × 3,637.91
  4. Step 4: Simplify right side
    13,498.39x = 73,660,509.62
  5. Step 5: Solve for x
    x = 73,660,509.62/13,498.39
  6. Step 6: Final answer
    x = 5,456.99

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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.