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Finding the Fourth Proportional to 14,127.76, 19,496.38 and 7,840.13

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Solution

The fourth proportional to 14,127.76, 19,496.38 and 7,840.13 is: 10,819.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,127.76 : 19,496.38 = 7,840.13 : x
  2. Step 2: Convert to fraction form
    14,127.76/19,496.38 = 7,840.13/x
  3. Step 3: Cross multiply
    14,127.76x = 19,496.38 × 7,840.13
  4. Step 4: Simplify right side
    14,127.76x = 152,854,134.13
  5. Step 5: Solve for x
    x = 152,854,134.13/14,127.76
  6. Step 6: Final answer
    x = 10,819.42

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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.