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Finding the Fourth Proportional to 12,966, 19,432.56 and 8,284.20

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Solution

The fourth proportional to 12,966, 19,432.56 and 8,284.20 is: 12,415.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,966 : 19,432.56 = 8,284.20 : x
  2. Step 2: Convert to fraction form
    12,966/19,432.56 = 8,284.20/x
  3. Step 3: Cross multiply
    12,966x = 19,432.56 × 8,284.20
  4. Step 4: Simplify right side
    12,966x = 160,983,213.55
  5. Step 5: Solve for x
    x = 160,983,213.55/12,966
  6. Step 6: Final answer
    x = 12,415.80

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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.