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Finding the Fourth Proportional to 22,516.32, 33,780.35 and 13,164.33

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Solution

The fourth proportional to 22,516.32, 33,780.35 and 13,164.33 is: 19,749.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,516.32 : 33,780.35 = 13,164.33 : x
  2. Step 2: Convert to fraction form
    22,516.32/33,780.35 = 13,164.33/x
  3. Step 3: Cross multiply
    22,516.32x = 33,780.35 × 13,164.33
  4. Step 4: Simplify right side
    22,516.32x = 444,695,674.92
  5. Step 5: Solve for x
    x = 444,695,674.92/22,516.32
  6. Step 6: Final answer
    x = 19,749.93

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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.