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Finding the Fourth Proportional to 19,742.68, 29,623.20 and 8,647.93

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Solution

The fourth proportional to 19,742.68, 29,623.20 and 8,647.93 is: 12,975.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,742.68 : 29,623.20 = 8,647.93 : x
  2. Step 2: Convert to fraction form
    19,742.68/29,623.20 = 8,647.93/x
  3. Step 3: Cross multiply
    19,742.68x = 29,623.20 × 8,647.93
  4. Step 4: Simplify right side
    19,742.68x = 256,179,359.98
  5. Step 5: Solve for x
    x = 256,179,359.98/19,742.68
  6. Step 6: Final answer
    x = 12,975.92

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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.