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Finding the Fourth Proportional to 17,701.17, 26,547.50 and 5,217.82

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Solution

The fourth proportional to 17,701.17, 26,547.50 and 5,217.82 is: 7,825.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,701.17 : 26,547.50 = 5,217.82 : x
  2. Step 2: Convert to fraction form
    17,701.17/26,547.50 = 5,217.82/x
  3. Step 3: Cross multiply
    17,701.17x = 26,547.50 × 5,217.82
  4. Step 4: Simplify right side
    17,701.17x = 138,520,076.45
  5. Step 5: Solve for x
    x = 138,520,076.45/17,701.17
  6. Step 6: Final answer
    x = 7,825.48

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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.