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Finding the Fourth Proportional to 13,641.68, 20,426.06 and 7,790.24

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Solution

The fourth proportional to 13,641.68, 20,426.06 and 7,790.24 is: 11,664.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,641.68 : 20,426.06 = 7,790.24 : x
  2. Step 2: Convert to fraction form
    13,641.68/20,426.06 = 7,790.24/x
  3. Step 3: Cross multiply
    13,641.68x = 20,426.06 × 7,790.24
  4. Step 4: Simplify right side
    13,641.68x = 159,123,827.00
  5. Step 5: Solve for x
    x = 159,123,827.00/13,641.68
  6. Step 6: Final answer
    x = 11,664.54

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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.