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Finding the Fourth Proportional to 23,987.83, 35,981.98 and 9,193.23

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Solution

The fourth proportional to 23,987.83, 35,981.98 and 9,193.23 is: 13,789.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,987.83 : 35,981.98 = 9,193.23 : x
  2. Step 2: Convert to fraction form
    23,987.83/35,981.98 = 9,193.23/x
  3. Step 3: Cross multiply
    23,987.83x = 35,981.98 × 9,193.23
  4. Step 4: Simplify right side
    23,987.83x = 330,790,618.00
  5. Step 5: Solve for x
    x = 330,790,618.00/23,987.83
  6. Step 6: Final answer
    x = 13,789.94

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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.