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Finding the Fourth Proportional to 24,786.54, 37,191.42 and 11,637

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Solution

The fourth proportional to 24,786.54, 37,191.42 and 11,637 is: 17,460.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,786.54 : 37,191.42 = 11,637 : x
  2. Step 2: Convert to fraction form
    24,786.54/37,191.42 = 11,637/x
  3. Step 3: Cross multiply
    24,786.54x = 37,191.42 × 11,637
  4. Step 4: Simplify right side
    24,786.54x = 432,796,554.54
  5. Step 5: Solve for x
    x = 432,796,554.54/24,786.54
  6. Step 6: Final answer
    x = 17,460.95

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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.