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Finding the Fourth Proportional to 14,248.64, 21,383.76 and 6,462.80

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Solution

The fourth proportional to 14,248.64, 21,383.76 and 6,462.80 is: 9,699.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,248.64 : 21,383.76 = 6,462.80 : x
  2. Step 2: Convert to fraction form
    14,248.64/21,383.76 = 6,462.80/x
  3. Step 3: Cross multiply
    14,248.64x = 21,383.76 × 6,462.80
  4. Step 4: Simplify right side
    14,248.64x = 138,198,964.13
  5. Step 5: Solve for x
    x = 138,198,964.13/14,248.64
  6. Step 6: Final answer
    x = 9,699.10

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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.