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Finding the Fourth Proportional to 13,426, 20,142.56 and 4,660.92

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Solution

The fourth proportional to 13,426, 20,142.56 and 4,660.92 is: 6,992.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,426 : 20,142.56 = 4,660.92 : x
  2. Step 2: Convert to fraction form
    13,426/20,142.56 = 4,660.92/x
  3. Step 3: Cross multiply
    13,426x = 20,142.56 × 4,660.92
  4. Step 4: Simplify right side
    13,426x = 93,882,860.76
  5. Step 5: Solve for x
    x = 93,882,860.76/13,426
  6. Step 6: Final answer
    x = 6,992.62

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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.