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Finding the Fourth Proportional to 13,948.61, 19,247.94 and 7,660.98

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Solution

The fourth proportional to 13,948.61, 19,247.94 and 7,660.98 is: 10,571.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,948.61 : 19,247.94 = 7,660.98 : x
  2. Step 2: Convert to fraction form
    13,948.61/19,247.94 = 7,660.98/x
  3. Step 3: Cross multiply
    13,948.61x = 19,247.94 × 7,660.98
  4. Step 4: Simplify right side
    13,948.61x = 147,458,083.38
  5. Step 5: Solve for x
    x = 147,458,083.38/13,948.61
  6. Step 6: Final answer
    x = 10,571.53

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Why These Related Problems?

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