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Finding the Fourth Proportional to 22,867.60, 34,343.64 and 13,690

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Solution

The fourth proportional to 22,867.60, 34,343.64 and 13,690 is: 20,560.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,867.60 : 34,343.64 = 13,690 : x
  2. Step 2: Convert to fraction form
    22,867.60/34,343.64 = 13,690/x
  3. Step 3: Cross multiply
    22,867.60x = 34,343.64 × 13,690
  4. Step 4: Simplify right side
    22,867.60x = 470,164,431.60
  5. Step 5: Solve for x
    x = 470,164,431.60/22,867.60
  6. Step 6: Final answer
    x = 20,560.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.