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Finding the Fourth Proportional to 19,926.84, 27,510.08 and 11,971

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Solution

The fourth proportional to 19,926.84, 27,510.08 and 11,971 is: 16,526.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,926.84 : 27,510.08 = 11,971 : x
  2. Step 2: Convert to fraction form
    19,926.84/27,510.08 = 11,971/x
  3. Step 3: Cross multiply
    19,926.84x = 27,510.08 × 11,971
  4. Step 4: Simplify right side
    19,926.84x = 329,323,167.68
  5. Step 5: Solve for x
    x = 329,323,167.68/19,926.84
  6. Step 6: Final answer
    x = 16,526.61

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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.