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Finding the Fourth Proportional to 14,550.78, 21,826.02 and 6,223.74

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Solution

The fourth proportional to 14,550.78, 21,826.02 and 6,223.74 is: 9,335.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,550.78 : 21,826.02 = 6,223.74 : x
  2. Step 2: Convert to fraction form
    14,550.78/21,826.02 = 6,223.74/x
  3. Step 3: Cross multiply
    14,550.78x = 21,826.02 × 6,223.74
  4. Step 4: Simplify right side
    14,550.78x = 135,839,473.71
  5. Step 5: Solve for x
    x = 135,839,473.71/14,550.78
  6. Step 6: Final answer
    x = 9,335.55

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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.