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Finding the Fourth Proportional to 14,411.93, 21,578.81 and 7,471.85

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Solution

The fourth proportional to 14,411.93, 21,578.81 and 7,471.85 is: 11,187.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,411.93 : 21,578.81 = 7,471.85 : x
  2. Step 2: Convert to fraction form
    14,411.93/21,578.81 = 7,471.85/x
  3. Step 3: Cross multiply
    14,411.93x = 21,578.81 × 7,471.85
  4. Step 4: Simplify right side
    14,411.93x = 161,233,486.25
  5. Step 5: Solve for x
    x = 161,233,486.25/14,411.93
  6. Step 6: Final answer
    x = 11,187.51

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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.