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Finding the Fourth Proportional to 14,866.14, 20,521.82 and 10,407.39

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Solution

The fourth proportional to 14,866.14, 20,521.82 and 10,407.39 is: 14,366.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,866.14 : 20,521.82 = 10,407.39 : x
  2. Step 2: Convert to fraction form
    14,866.14/20,521.82 = 10,407.39/x
  3. Step 3: Cross multiply
    14,866.14x = 20,521.82 × 10,407.39
  4. Step 4: Simplify right side
    14,866.14x = 213,578,584.25
  5. Step 5: Solve for x
    x = 213,578,584.25/14,866.14
  6. Step 6: Final answer
    x = 14,366.78

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