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Finding the Fourth Proportional to 22,724, 34,106.68 and 11,638.32

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Solution

The fourth proportional to 22,724, 34,106.68 and 11,638.32 is: 17,468.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,724 : 34,106.68 = 11,638.32 : x
  2. Step 2: Convert to fraction form
    22,724/34,106.68 = 11,638.32/x
  3. Step 3: Cross multiply
    22,724x = 34,106.68 × 11,638.32
  4. Step 4: Simplify right side
    22,724x = 396,944,455.98
  5. Step 5: Solve for x
    x = 396,944,455.98/22,724
  6. Step 6: Final answer
    x = 17,468.07

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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.