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Finding the Fourth Proportional to 22,806.88, 31,473.12 and 16,085.44

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Solution

The fourth proportional to 22,806.88, 31,473.12 and 16,085.44 is: 22,197.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,806.88 : 31,473.12 = 16,085.44 : x
  2. Step 2: Convert to fraction form
    22,806.88/31,473.12 = 16,085.44/x
  3. Step 3: Cross multiply
    22,806.88x = 31,473.12 × 16,085.44
  4. Step 4: Simplify right side
    22,806.88x = 506,258,983.37
  5. Step 5: Solve for x
    x = 506,258,983.37/22,806.88
  6. Step 6: Final answer
    x = 22,197.64

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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.