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Finding the Fourth Proportional to 14,237.82, 19,649.07 and 7,864.38

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Solution

The fourth proportional to 14,237.82, 19,649.07 and 7,864.38 is: 10,853.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,237.82 : 19,649.07 = 7,864.38 : x
  2. Step 2: Convert to fraction form
    14,237.82/19,649.07 = 7,864.38/x
  3. Step 3: Cross multiply
    14,237.82x = 19,649.07 × 7,864.38
  4. Step 4: Simplify right side
    14,237.82x = 154,527,753.13
  5. Step 5: Solve for x
    x = 154,527,753.13/14,237.82
  6. Step 6: Final answer
    x = 10,853.33

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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.