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Finding the Fourth Proportional to 22,907.85, 31,614.75 and 12,836.13

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Solution

The fourth proportional to 22,907.85, 31,614.75 and 12,836.13 is: 17,714.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,907.85 : 31,614.75 = 12,836.13 : x
  2. Step 2: Convert to fraction form
    22,907.85/31,614.75 = 12,836.13/x
  3. Step 3: Cross multiply
    22,907.85x = 31,614.75 × 12,836.13
  4. Step 4: Simplify right side
    22,907.85x = 405,811,040.92
  5. Step 5: Solve for x
    x = 405,811,040.92/22,907.85
  6. Step 6: Final answer
    x = 17,714.93

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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.