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Finding the Fourth Proportional to 12,850.08, 17,738.88 and 7,545.23

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Solution

The fourth proportional to 12,850.08, 17,738.88 and 7,545.23 is: 10,415.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,850.08 : 17,738.88 = 7,545.23 : x
  2. Step 2: Convert to fraction form
    12,850.08/17,738.88 = 7,545.23/x
  3. Step 3: Cross multiply
    12,850.08x = 17,738.88 × 7,545.23
  4. Step 4: Simplify right side
    12,850.08x = 133,843,803.12
  5. Step 5: Solve for x
    x = 133,843,803.12/12,850.08
  6. Step 6: Final answer
    x = 10,415.80

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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.