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Finding the Fourth Proportional to 19,877.92, 27,431.53 and 10,926

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Solution

The fourth proportional to 19,877.92, 27,431.53 and 10,926 is: 15,077.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,877.92 : 27,431.53 = 10,926 : x
  2. Step 2: Convert to fraction form
    19,877.92/27,431.53 = 10,926/x
  3. Step 3: Cross multiply
    19,877.92x = 27,431.53 × 10,926
  4. Step 4: Simplify right side
    19,877.92x = 299,716,869.47
  5. Step 5: Solve for x
    x = 299,716,869.47/19,877.92
  6. Step 6: Final answer
    x = 15,077.88

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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.