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Finding the Fourth Proportional to 14,542.68, 21,805.25 and 6,535.98

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Solution

The fourth proportional to 14,542.68, 21,805.25 and 6,535.98 is: 9,800.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,542.68 : 21,805.25 = 6,535.98 : x
  2. Step 2: Convert to fraction form
    14,542.68/21,805.25 = 6,535.98/x
  3. Step 3: Cross multiply
    14,542.68x = 21,805.25 × 6,535.98
  4. Step 4: Simplify right side
    14,542.68x = 142,518,677.90
  5. Step 5: Solve for x
    x = 142,518,677.90/14,542.68
  6. Step 6: Final answer
    x = 9,800.03

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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.