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Finding the Fourth Proportional to 14,641.20, 21,963.93 and 4,778.05

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Solution

The fourth proportional to 14,641.20, 21,963.93 and 4,778.05 is: 7,167.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,641.20 : 21,963.93 = 4,778.05 : x
  2. Step 2: Convert to fraction form
    14,641.20/21,963.93 = 4,778.05/x
  3. Step 3: Cross multiply
    14,641.20x = 21,963.93 × 4,778.05
  4. Step 4: Simplify right side
    14,641.20x = 104,944,755.74
  5. Step 5: Solve for x
    x = 104,944,755.74/14,641.20
  6. Step 6: Final answer
    x = 7,167.77

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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.