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Finding the Fourth Proportional to 13,266.46, 19,871.76 and 9,086.86

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Solution

The fourth proportional to 13,266.46, 19,871.76 and 9,086.86 is: 13,611.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,266.46 : 19,871.76 = 9,086.86 : x
  2. Step 2: Convert to fraction form
    13,266.46/19,871.76 = 9,086.86/x
  3. Step 3: Cross multiply
    13,266.46x = 19,871.76 × 9,086.86
  4. Step 4: Simplify right side
    13,266.46x = 180,571,901.07
  5. Step 5: Solve for x
    x = 180,571,901.07/13,266.46
  6. Step 6: Final answer
    x = 13,611.16

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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.