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Finding the Fourth Proportional to 22,326.16, 33,494.84 and 15,765.16

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Solution

The fourth proportional to 22,326.16, 33,494.84 and 15,765.16 is: 23,651.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,326.16 : 33,494.84 = 15,765.16 : x
  2. Step 2: Convert to fraction form
    22,326.16/33,494.84 = 15,765.16/x
  3. Step 3: Cross multiply
    22,326.16x = 33,494.84 × 15,765.16
  4. Step 4: Simplify right side
    22,326.16x = 528,051,511.77
  5. Step 5: Solve for x
    x = 528,051,511.77/22,326.16
  6. Step 6: Final answer
    x = 23,651.69

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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.