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Finding the Fourth Proportional to 13,935, 19,230.03 and 7,966.38

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Solution

The fourth proportional to 13,935, 19,230.03 and 7,966.38 is: 10,993.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,935 : 19,230.03 = 7,966.38 : x
  2. Step 2: Convert to fraction form
    13,935/19,230.03 = 7,966.38/x
  3. Step 3: Cross multiply
    13,935x = 19,230.03 × 7,966.38
  4. Step 4: Simplify right side
    13,935x = 153,193,726.39
  5. Step 5: Solve for x
    x = 153,193,726.39/13,935
  6. Step 6: Final answer
    x = 10,993.45

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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.