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Finding the Fourth Proportional to 27,730.98, 38,276.60 and 16,404.41

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Solution

The fourth proportional to 27,730.98, 38,276.60 and 16,404.41 is: 22,642.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,730.98 : 38,276.60 = 16,404.41 : x
  2. Step 2: Convert to fraction form
    27,730.98/38,276.60 = 16,404.41/x
  3. Step 3: Cross multiply
    27,730.98x = 38,276.60 × 16,404.41
  4. Step 4: Simplify right side
    27,730.98x = 627,905,145.75
  5. Step 5: Solve for x
    x = 627,905,145.75/27,730.98
  6. Step 6: Final answer
    x = 22,642.73

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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.