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Finding the Fourth Proportional to 23,768.81, 35,642.00 and 8,772.14

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Solution

The fourth proportional to 23,768.81, 35,642.00 and 8,772.14 is: 13,154.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,768.81 : 35,642.00 = 8,772.14 : x
  2. Step 2: Convert to fraction form
    23,768.81/35,642.00 = 8,772.14/x
  3. Step 3: Cross multiply
    23,768.81x = 35,642.00 × 8,772.14
  4. Step 4: Simplify right side
    23,768.81x = 312,656,391.81
  5. Step 5: Solve for x
    x = 312,656,391.81/23,768.81
  6. Step 6: Final answer
    x = 13,154.06

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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.