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Finding the Fourth Proportional to 27,701.96, 38,216.24 and 17,097.64

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Solution

The fourth proportional to 27,701.96, 38,216.24 and 17,097.64 is: 23,587.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,701.96 : 38,216.24 = 17,097.64 : x
  2. Step 2: Convert to fraction form
    27,701.96/38,216.24 = 17,097.64/x
  3. Step 3: Cross multiply
    27,701.96x = 38,216.24 × 17,097.64
  4. Step 4: Simplify right side
    27,701.96x = 653,407,513.67
  5. Step 5: Solve for x
    x = 653,407,513.67/27,701.96
  6. Step 6: Final answer
    x = 23,587.05

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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.