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Finding the Fourth Proportional to 27,146.64, 37,471.04 and 16,942.47

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Solution

The fourth proportional to 27,146.64, 37,471.04 and 16,942.47 is: 23,386.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,146.64 : 37,471.04 = 16,942.47 : x
  2. Step 2: Convert to fraction form
    27,146.64/37,471.04 = 16,942.47/x
  3. Step 3: Cross multiply
    27,146.64x = 37,471.04 × 16,942.47
  4. Step 4: Simplify right side
    27,146.64x = 634,851,886.36
  5. Step 5: Solve for x
    x = 634,851,886.36/27,146.64
  6. Step 6: Final answer
    x = 23,386.02

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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.