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Finding the Fourth Proportional to 17,545.86, 26,329.16 and 6,460.32

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Solution

The fourth proportional to 17,545.86, 26,329.16 and 6,460.32 is: 9,694.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,545.86 : 26,329.16 = 6,460.32 : x
  2. Step 2: Convert to fraction form
    17,545.86/26,329.16 = 6,460.32/x
  3. Step 3: Cross multiply
    17,545.86x = 26,329.16 × 6,460.32
  4. Step 4: Simplify right side
    17,545.86x = 170,094,798.93
  5. Step 5: Solve for x
    x = 170,094,798.93/17,545.86
  6. Step 6: Final answer
    x = 9,694.30

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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.