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Finding the Fourth Proportional to 13,426.02, 20,142.54 and 7,884

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Solution

The fourth proportional to 13,426.02, 20,142.54 and 7,884 is: 11,828.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,426.02 : 20,142.54 = 7,884 : x
  2. Step 2: Convert to fraction form
    13,426.02/20,142.54 = 7,884/x
  3. Step 3: Cross multiply
    13,426.02x = 20,142.54 × 7,884
  4. Step 4: Simplify right side
    13,426.02x = 158,803,785.36
  5. Step 5: Solve for x
    x = 158,803,785.36/13,426.02
  6. Step 6: Final answer
    x = 11,828.06

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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.