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Finding the Fourth Proportional to 22,516.96, 33,776.12 and 7,725.67

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Solution

The fourth proportional to 22,516.96, 33,776.12 and 7,725.67 is: 11,588.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,516.96 : 33,776.12 = 7,725.67 : x
  2. Step 2: Convert to fraction form
    22,516.96/33,776.12 = 7,725.67/x
  3. Step 3: Cross multiply
    22,516.96x = 33,776.12 × 7,725.67
  4. Step 4: Simplify right side
    22,516.96x = 260,943,157.00
  5. Step 5: Solve for x
    x = 260,943,157.00/22,516.96
  6. Step 6: Final answer
    x = 11,588.74

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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.