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Finding the Fourth Proportional to 14,141.67, 21,220.65 and 7,567.80

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Solution

The fourth proportional to 14,141.67, 21,220.65 and 7,567.80 is: 11,356.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,141.67 : 21,220.65 = 7,567.80 : x
  2. Step 2: Convert to fraction form
    14,141.67/21,220.65 = 7,567.80/x
  3. Step 3: Cross multiply
    14,141.67x = 21,220.65 × 7,567.80
  4. Step 4: Simplify right side
    14,141.67x = 160,593,635.07
  5. Step 5: Solve for x
    x = 160,593,635.07/14,141.67
  6. Step 6: Final answer
    x = 11,356.06

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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.