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Finding the Fourth Proportional to 27,461.50, 37,886.04 and 17,912.50

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Solution

The fourth proportional to 27,461.50, 37,886.04 and 17,912.50 is: 24,712.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,461.50 : 37,886.04 = 17,912.50 : x
  2. Step 2: Convert to fraction form
    27,461.50/37,886.04 = 17,912.50/x
  3. Step 3: Cross multiply
    27,461.50x = 37,886.04 × 17,912.50
  4. Step 4: Simplify right side
    27,461.50x = 678,633,691.50
  5. Step 5: Solve for x
    x = 678,633,691.50/27,461.50
  6. Step 6: Final answer
    x = 24,712.19

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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.