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Finding the Fourth Proportional to 13,582.71, 20,340.99 and 9,410.94

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Solution

The fourth proportional to 13,582.71, 20,340.99 and 9,410.94 is: 14,093.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,582.71 : 20,340.99 = 9,410.94 : x
  2. Step 2: Convert to fraction form
    13,582.71/20,340.99 = 9,410.94/x
  3. Step 3: Cross multiply
    13,582.71x = 20,340.99 × 9,410.94
  4. Step 4: Simplify right side
    13,582.71x = 191,427,836.43
  5. Step 5: Solve for x
    x = 191,427,836.43/13,582.71
  6. Step 6: Final answer
    x = 14,093.49

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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.