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Finding the Fourth Proportional to 22,557.69, 33,826.68 and 6,971.67

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Solution

The fourth proportional to 22,557.69, 33,826.68 and 6,971.67 is: 10,454.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,557.69 : 33,826.68 = 6,971.67 : x
  2. Step 2: Convert to fraction form
    22,557.69/33,826.68 = 6,971.67/x
  3. Step 3: Cross multiply
    22,557.69x = 33,826.68 × 6,971.67
  4. Step 4: Simplify right side
    22,557.69x = 235,828,450.16
  5. Step 5: Solve for x
    x = 235,828,450.16/22,557.69
  6. Step 6: Final answer
    x = 10,454.46

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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.