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Finding the Fourth Proportional to 14,542.56, 21,813.84 and 4,153.68

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Solution

The fourth proportional to 14,542.56, 21,813.84 and 4,153.68 is: 6,230.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,542.56 : 21,813.84 = 4,153.68 : x
  2. Step 2: Convert to fraction form
    14,542.56/21,813.84 = 4,153.68/x
  3. Step 3: Cross multiply
    14,542.56x = 21,813.84 × 4,153.68
  4. Step 4: Simplify right side
    14,542.56x = 90,607,710.93
  5. Step 5: Solve for x
    x = 90,607,710.93/14,542.56
  6. Step 6: Final answer
    x = 6,230.52

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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.