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Finding the Fourth Proportional to 22,595.29, 33,870.37 and 7,794.76

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Solution

The fourth proportional to 22,595.29, 33,870.37 and 7,794.76 is: 11,684.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,595.29 : 33,870.37 = 7,794.76 : x
  2. Step 2: Convert to fraction form
    22,595.29/33,870.37 = 7,794.76/x
  3. Step 3: Cross multiply
    22,595.29x = 33,870.37 × 7,794.76
  4. Step 4: Simplify right side
    22,595.29x = 264,011,366.29
  5. Step 5: Solve for x
    x = 264,011,366.29/22,595.29
  6. Step 6: Final answer
    x = 11,684.36

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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.