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Finding the Fourth Proportional to 14,114.40, 21,178.90 and 7,542.60

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Solution

The fourth proportional to 14,114.40, 21,178.90 and 7,542.60 is: 11,317.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,114.40 : 21,178.90 = 7,542.60 : x
  2. Step 2: Convert to fraction form
    14,114.40/21,178.90 = 7,542.60/x
  3. Step 3: Cross multiply
    14,114.40x = 21,178.90 × 7,542.60
  4. Step 4: Simplify right side
    14,114.40x = 159,743,971.14
  5. Step 5: Solve for x
    x = 159,743,971.14/14,114.40
  6. Step 6: Final answer
    x = 11,317.80

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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.