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Finding the Fourth Proportional to 22,990.72, 31,730.40 and 13,433.76

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Solution

The fourth proportional to 22,990.72, 31,730.40 and 13,433.76 is: 18,540.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,990.72 : 31,730.40 = 13,433.76 : x
  2. Step 2: Convert to fraction form
    22,990.72/31,730.40 = 13,433.76/x
  3. Step 3: Cross multiply
    22,990.72x = 31,730.40 × 13,433.76
  4. Step 4: Simplify right side
    22,990.72x = 426,258,578.30
  5. Step 5: Solve for x
    x = 426,258,578.30/22,990.72
  6. Step 6: Final answer
    x = 18,540.46

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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.