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Finding the Fourth Proportional to 12,711.64, 17,543.22 and 7,678.36

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Solution

The fourth proportional to 12,711.64, 17,543.22 and 7,678.36 is: 10,596.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,711.64 : 17,543.22 = 7,678.36 : x
  2. Step 2: Convert to fraction form
    12,711.64/17,543.22 = 7,678.36/x
  3. Step 3: Cross multiply
    12,711.64x = 17,543.22 × 7,678.36
  4. Step 4: Simplify right side
    12,711.64x = 134,703,158.72
  5. Step 5: Solve for x
    x = 134,703,158.72/12,711.64
  6. Step 6: Final answer
    x = 10,596.84

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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.