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Finding the Fourth Proportional to 14,055.66, 21,083.49 and 4,821.74

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Solution

The fourth proportional to 14,055.66, 21,083.49 and 4,821.74 is: 7,232.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,055.66 : 21,083.49 = 4,821.74 : x
  2. Step 2: Convert to fraction form
    14,055.66/21,083.49 = 4,821.74/x
  3. Step 3: Cross multiply
    14,055.66x = 21,083.49 × 4,821.74
  4. Step 4: Simplify right side
    14,055.66x = 101,659,107.07
  5. Step 5: Solve for x
    x = 101,659,107.07/14,055.66
  6. Step 6: Final answer
    x = 7,232.61

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Why These Related Problems?

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