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Finding the Fourth Proportional to 14,233.20, 21,349.80 and 6,841.20

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Solution

The fourth proportional to 14,233.20, 21,349.80 and 6,841.20 is: 10,261.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,233.20 : 21,349.80 = 6,841.20 : x
  2. Step 2: Convert to fraction form
    14,233.20/21,349.80 = 6,841.20/x
  3. Step 3: Cross multiply
    14,233.20x = 21,349.80 × 6,841.20
  4. Step 4: Simplify right side
    14,233.20x = 146,058,251.76
  5. Step 5: Solve for x
    x = 146,058,251.76/14,233.20
  6. Step 6: Final answer
    x = 10,261.80

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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.