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Finding the Fourth Proportional to 14,242.20, 21,365.52 and 6,845.28

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Solution

The fourth proportional to 14,242.20, 21,365.52 and 6,845.28 is: 10,268.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,242.20 : 21,365.52 = 6,845.28 : x
  2. Step 2: Convert to fraction form
    14,242.20/21,365.52 = 6,845.28/x
  3. Step 3: Cross multiply
    14,242.20x = 21,365.52 × 6,845.28
  4. Step 4: Simplify right side
    14,242.20x = 146,252,966.75
  5. Step 5: Solve for x
    x = 146,252,966.75/14,242.20
  6. Step 6: Final answer
    x = 10,268.99

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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.