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Finding the Fourth Proportional to 12,967.92, 19,443.36 and 6,398.40

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Solution

The fourth proportional to 12,967.92, 19,443.36 and 6,398.40 is: 9,593.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,967.92 : 19,443.36 = 6,398.40 : x
  2. Step 2: Convert to fraction form
    12,967.92/19,443.36 = 6,398.40/x
  3. Step 3: Cross multiply
    12,967.92x = 19,443.36 × 6,398.40
  4. Step 4: Simplify right side
    12,967.92x = 124,406,394.62
  5. Step 5: Solve for x
    x = 124,406,394.62/12,967.92
  6. Step 6: Final answer
    x = 9,593.40

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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.