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Finding the Fourth Proportional to 22,476.78, 31,019.00 and 12,406.65

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Solution

The fourth proportional to 22,476.78, 31,019.00 and 12,406.65 is: 17,121.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,476.78 : 31,019.00 = 12,406.65 : x
  2. Step 2: Convert to fraction form
    22,476.78/31,019.00 = 12,406.65/x
  3. Step 3: Cross multiply
    22,476.78x = 31,019.00 × 12,406.65
  4. Step 4: Simplify right side
    22,476.78x = 384,841,814.32
  5. Step 5: Solve for x
    x = 384,841,814.32/22,476.78
  6. Step 6: Final answer
    x = 17,121.75

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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.