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Finding the Fourth Proportional to 18,646.48, 27,969.66 and 5,498.96

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Solution

The fourth proportional to 18,646.48, 27,969.66 and 5,498.96 is: 8,248.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,646.48 : 27,969.66 = 5,498.96 : x
  2. Step 2: Convert to fraction form
    18,646.48/27,969.66 = 5,498.96/x
  3. Step 3: Cross multiply
    18,646.48x = 27,969.66 × 5,498.96
  4. Step 4: Simplify right side
    18,646.48x = 153,804,041.55
  5. Step 5: Solve for x
    x = 153,804,041.55/18,646.48
  6. Step 6: Final answer
    x = 8,248.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.