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Finding the Fourth Proportional to 22,509.44, 31,063.67 and 12,438.54

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Solution

The fourth proportional to 22,509.44, 31,063.67 and 12,438.54 is: 17,165.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,509.44 : 31,063.67 = 12,438.54 : x
  2. Step 2: Convert to fraction form
    22,509.44/31,063.67 = 12,438.54/x
  3. Step 3: Cross multiply
    22,509.44x = 31,063.67 × 12,438.54
  4. Step 4: Simplify right side
    22,509.44x = 386,386,639.65
  5. Step 5: Solve for x
    x = 386,386,639.65/22,509.44
  6. Step 6: Final answer
    x = 17,165.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.