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Finding the Fourth Proportional to 17,665.29, 26,498.37 and 5,184

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Solution

The fourth proportional to 17,665.29, 26,498.37 and 5,184 is: 7,776.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,665.29 : 26,498.37 = 5,184 : x
  2. Step 2: Convert to fraction form
    17,665.29/26,498.37 = 5,184/x
  3. Step 3: Cross multiply
    17,665.29x = 26,498.37 × 5,184
  4. Step 4: Simplify right side
    17,665.29x = 137,367,550.08
  5. Step 5: Solve for x
    x = 137,367,550.08/17,665.29
  6. Step 6: Final answer
    x = 7,776.13

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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.