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Finding the Fourth Proportional to 12,884.40, 19,327.10 and 4,000.64

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Solution

The fourth proportional to 12,884.40, 19,327.10 and 4,000.64 is: 6,001.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884.40 : 19,327.10 = 4,000.64 : x
  2. Step 2: Convert to fraction form
    12,884.40/19,327.10 = 4,000.64/x
  3. Step 3: Cross multiply
    12,884.40x = 19,327.10 × 4,000.64
  4. Step 4: Simplify right side
    12,884.40x = 77,320,769.34
  5. Step 5: Solve for x
    x = 77,320,769.34/12,884.40
  6. Step 6: Final answer
    x = 6,001.12

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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.