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Finding the Fourth Proportional to 17,508.69, 26,264.64 and 6,976.16

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Solution

The fourth proportional to 17,508.69, 26,264.64 and 6,976.16 is: 10,464.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,508.69 : 26,264.64 = 6,976.16 : x
  2. Step 2: Convert to fraction form
    17,508.69/26,264.64 = 6,976.16/x
  3. Step 3: Cross multiply
    17,508.69x = 26,264.64 × 6,976.16
  4. Step 4: Simplify right side
    17,508.69x = 183,226,199.66
  5. Step 5: Solve for x
    x = 183,226,199.66/17,508.69
  6. Step 6: Final answer
    x = 10,464.87

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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.