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Finding the Fourth Proportional to 22,986.36, 31,721.04 and 12,914.82

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Solution

The fourth proportional to 22,986.36, 31,721.04 and 12,914.82 is: 17,822.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,986.36 : 31,721.04 = 12,914.82 : x
  2. Step 2: Convert to fraction form
    22,986.36/31,721.04 = 12,914.82/x
  3. Step 3: Cross multiply
    22,986.36x = 31,721.04 × 12,914.82
  4. Step 4: Simplify right side
    22,986.36x = 409,671,521.81
  5. Step 5: Solve for x
    x = 409,671,521.81/22,986.36
  6. Step 6: Final answer
    x = 17,822.37

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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.