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Finding the Fourth Proportional to 14,299.25, 21,448.92 and 3,911

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Solution

The fourth proportional to 14,299.25, 21,448.92 and 3,911 is: 5,866.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,299.25 : 21,448.92 = 3,911 : x
  2. Step 2: Convert to fraction form
    14,299.25/21,448.92 = 3,911/x
  3. Step 3: Cross multiply
    14,299.25x = 21,448.92 × 3,911
  4. Step 4: Simplify right side
    14,299.25x = 83,886,726.12
  5. Step 5: Solve for x
    x = 83,886,726.12/14,299.25
  6. Step 6: Final answer
    x = 5,866.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.