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Finding the Fourth Proportional to 17,547.26, 26,325.78 and 9,761.54

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Solution

The fourth proportional to 17,547.26, 26,325.78 and 9,761.54 is: 14,645.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,547.26 : 26,325.78 = 9,761.54 : x
  2. Step 2: Convert to fraction form
    17,547.26/26,325.78 = 9,761.54/x
  3. Step 3: Cross multiply
    17,547.26x = 26,325.78 × 9,761.54
  4. Step 4: Simplify right side
    17,547.26x = 256,980,154.50
  5. Step 5: Solve for x
    x = 256,980,154.50/17,547.26
  6. Step 6: Final answer
    x = 14,645.03

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Why These Related Problems?

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