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Finding the Fourth Proportional to 23,816.81, 35,726.61 and 8,020.52

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Solution

The fourth proportional to 23,816.81, 35,726.61 and 8,020.52 is: 12,031.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,816.81 : 35,726.61 = 8,020.52 : x
  2. Step 2: Convert to fraction form
    23,816.81/35,726.61 = 8,020.52/x
  3. Step 3: Cross multiply
    23,816.81x = 35,726.61 × 8,020.52
  4. Step 4: Simplify right side
    23,816.81x = 286,545,990.04
  5. Step 5: Solve for x
    x = 286,545,990.04/23,816.81
  6. Step 6: Final answer
    x = 12,031.25

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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.