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Finding the Fourth Proportional to 22,743.76, 31,394.92 and 16,823.12

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Solution

The fourth proportional to 22,743.76, 31,394.92 and 16,823.12 is: 23,222.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,743.76 : 31,394.92 = 16,823.12 : x
  2. Step 2: Convert to fraction form
    22,743.76/31,394.92 = 16,823.12/x
  3. Step 3: Cross multiply
    22,743.76x = 31,394.92 × 16,823.12
  4. Step 4: Simplify right side
    22,743.76x = 528,160,506.55
  5. Step 5: Solve for x
    x = 528,160,506.55/22,743.76
  6. Step 6: Final answer
    x = 23,222.22

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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.