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Finding the Fourth Proportional to 27,038.56, 37,306.82 and 16,427.56

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Solution

The fourth proportional to 27,038.56, 37,306.82 and 16,427.56 is: 22,666.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,038.56 : 37,306.82 = 16,427.56 : x
  2. Step 2: Convert to fraction form
    27,038.56/37,306.82 = 16,427.56/x
  3. Step 3: Cross multiply
    27,038.56x = 37,306.82 × 16,427.56
  4. Step 4: Simplify right side
    27,038.56x = 612,860,023.96
  5. Step 5: Solve for x
    x = 612,860,023.96/27,038.56
  6. Step 6: Final answer
    x = 22,666.15

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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.