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Finding the Fourth Proportional to 14,340.68, 19,789.50 and 7,967.72

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Solution

The fourth proportional to 14,340.68, 19,789.50 and 7,967.72 is: 10,995.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,340.68 : 19,789.50 = 7,967.72 : x
  2. Step 2: Convert to fraction form
    14,340.68/19,789.50 = 7,967.72/x
  3. Step 3: Cross multiply
    14,340.68x = 19,789.50 × 7,967.72
  4. Step 4: Simplify right side
    14,340.68x = 157,677,194.94
  5. Step 5: Solve for x
    x = 157,677,194.94/14,340.68
  6. Step 6: Final answer
    x = 10,995.10

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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.