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Finding the Fourth Proportional to 12,526.84, 17,268.96 and 10,164.88

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Solution

The fourth proportional to 12,526.84, 17,268.96 and 10,164.88 is: 14,012.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,526.84 : 17,268.96 = 10,164.88 : x
  2. Step 2: Convert to fraction form
    12,526.84/17,268.96 = 10,164.88/x
  3. Step 3: Cross multiply
    12,526.84x = 17,268.96 × 10,164.88
  4. Step 4: Simplify right side
    12,526.84x = 175,536,906.12
  5. Step 5: Solve for x
    x = 175,536,906.12/12,526.84
  6. Step 6: Final answer
    x = 14,012.86

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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.