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Finding the Fourth Proportional to 13,856.76, 19,122.12 and 8,266.68

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Solution

The fourth proportional to 13,856.76, 19,122.12 and 8,266.68 is: 11,407.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,856.76 : 19,122.12 = 8,266.68 : x
  2. Step 2: Convert to fraction form
    13,856.76/19,122.12 = 8,266.68/x
  3. Step 3: Cross multiply
    13,856.76x = 19,122.12 × 8,266.68
  4. Step 4: Simplify right side
    13,856.76x = 158,076,446.96
  5. Step 5: Solve for x
    x = 158,076,446.96/13,856.76
  6. Step 6: Final answer
    x = 11,407.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.