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Finding the Fourth Proportional to 14,133.68, 19,504.36 and 8,165.92

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Solution

The fourth proportional to 14,133.68, 19,504.36 and 8,165.92 is: 11,268.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,133.68 : 19,504.36 = 8,165.92 : x
  2. Step 2: Convert to fraction form
    14,133.68/19,504.36 = 8,165.92/x
  3. Step 3: Cross multiply
    14,133.68x = 19,504.36 × 8,165.92
  4. Step 4: Simplify right side
    14,133.68x = 159,271,043.41
  5. Step 5: Solve for x
    x = 159,271,043.41/14,133.68
  6. Step 6: Final answer
    x = 11,268.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.