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Finding the Fourth Proportional to 14,027.92, 19,358.16 and 7,740.28

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Solution

The fourth proportional to 14,027.92, 19,358.16 and 7,740.28 is: 10,681.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,027.92 : 19,358.16 = 7,740.28 : x
  2. Step 2: Convert to fraction form
    14,027.92/19,358.16 = 7,740.28/x
  3. Step 3: Cross multiply
    14,027.92x = 19,358.16 × 7,740.28
  4. Step 4: Simplify right side
    14,027.92x = 149,837,578.68
  5. Step 5: Solve for x
    x = 149,837,578.68/14,027.92
  6. Step 6: Final answer
    x = 10,681.38

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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.