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Finding the Fourth Proportional to 12,706.56, 19,059.84 and 5,306.40

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Solution

The fourth proportional to 12,706.56, 19,059.84 and 5,306.40 is: 7,959.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.56 : 19,059.84 = 5,306.40 : x
  2. Step 2: Convert to fraction form
    12,706.56/19,059.84 = 5,306.40/x
  3. Step 3: Cross multiply
    12,706.56x = 19,059.84 × 5,306.40
  4. Step 4: Simplify right side
    12,706.56x = 101,139,134.98
  5. Step 5: Solve for x
    x = 101,139,134.98/12,706.56
  6. Step 6: Final answer
    x = 7,959.60

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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.