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Finding the Fourth Proportional to 15,633.00, 23,443.52 and 7,732.81

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Solution

The fourth proportional to 15,633.00, 23,443.52 and 7,732.81 is: 11,596.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,633.00 : 23,443.52 = 7,732.81 : x
  2. Step 2: Convert to fraction form
    15,633.00/23,443.52 = 7,732.81/x
  3. Step 3: Cross multiply
    15,633.00x = 23,443.52 × 7,732.81
  4. Step 4: Simplify right side
    15,633.00x = 181,284,261.11
  5. Step 5: Solve for x
    x = 181,284,261.11/15,633.00
  6. Step 6: Final answer
    x = 11,596.25

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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.