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Finding the Fourth Proportional to 27,782.48, 38,327.64 and 16,598

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Solution

The fourth proportional to 27,782.48, 38,327.64 and 16,598 is: 22,897.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,782.48 : 38,327.64 = 16,598 : x
  2. Step 2: Convert to fraction form
    27,782.48/38,327.64 = 16,598/x
  3. Step 3: Cross multiply
    27,782.48x = 38,327.64 × 16,598
  4. Step 4: Simplify right side
    27,782.48x = 636,162,168.72
  5. Step 5: Solve for x
    x = 636,162,168.72/27,782.48
  6. Step 6: Final answer
    x = 22,897.96

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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.