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Finding the Fourth Proportional to 12,904.96, 19,353.24 and 7,967.20

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Solution

The fourth proportional to 12,904.96, 19,353.24 and 7,967.20 is: 11,948.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,904.96 : 19,353.24 = 7,967.20 : x
  2. Step 2: Convert to fraction form
    12,904.96/19,353.24 = 7,967.20/x
  3. Step 3: Cross multiply
    12,904.96x = 19,353.24 × 7,967.20
  4. Step 4: Simplify right side
    12,904.96x = 154,191,133.73
  5. Step 5: Solve for x
    x = 154,191,133.73/12,904.96
  6. Step 6: Final answer
    x = 11,948.21

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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.