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Finding the Fourth Proportional to 22,986.08, 31,721.61 and 12,914.32

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Solution

The fourth proportional to 22,986.08, 31,721.61 and 12,914.32 is: 17,822.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,986.08 : 31,721.61 = 12,914.32 : x
  2. Step 2: Convert to fraction form
    22,986.08/31,721.61 = 12,914.32/x
  3. Step 3: Cross multiply
    22,986.08x = 31,721.61 × 12,914.32
  4. Step 4: Simplify right side
    22,986.08x = 409,663,025.49
  5. Step 5: Solve for x
    x = 409,663,025.49/22,986.08
  6. Step 6: Final answer
    x = 17,822.22

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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.