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Finding the Fourth Proportional to 14,236.68, 19,646.90 and 8,266.17

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Solution

The fourth proportional to 14,236.68, 19,646.90 and 8,266.17 is: 11,407.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,236.68 : 19,646.90 = 8,266.17 : x
  2. Step 2: Convert to fraction form
    14,236.68/19,646.90 = 8,266.17/x
  3. Step 3: Cross multiply
    14,236.68x = 19,646.90 × 8,266.17
  4. Step 4: Simplify right side
    14,236.68x = 162,404,615.37
  5. Step 5: Solve for x
    x = 162,404,615.37/14,236.68
  6. Step 6: Final answer
    x = 11,407.48

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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.