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Finding the Fourth Proportional to 12,885.92, 19,352.64 and 7,967.60

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Solution

The fourth proportional to 12,885.92, 19,352.64 and 7,967.60 is: 11,966.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,885.92 : 19,352.64 = 7,967.60 : x
  2. Step 2: Convert to fraction form
    12,885.92/19,352.64 = 7,967.60/x
  3. Step 3: Cross multiply
    12,885.92x = 19,352.64 × 7,967.60
  4. Step 4: Simplify right side
    12,885.92x = 154,194,094.46
  5. Step 5: Solve for x
    x = 154,194,094.46/12,885.92
  6. Step 6: Final answer
    x = 11,966.09

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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.