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Finding the Fourth Proportional to 27,431.74, 37,872.12 and 17,368.81

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Solution

The fourth proportional to 27,431.74, 37,872.12 and 17,368.81 is: 23,979.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,431.74 : 37,872.12 = 17,368.81 : x
  2. Step 2: Convert to fraction form
    27,431.74/37,872.12 = 17,368.81/x
  3. Step 3: Cross multiply
    27,431.74x = 37,872.12 × 17,368.81
  4. Step 4: Simplify right side
    27,431.74x = 657,793,472.17
  5. Step 5: Solve for x
    x = 657,793,472.17/27,431.74
  6. Step 6: Final answer
    x = 23,979.28

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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.