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Finding the Fourth Proportional to 17,117.87, 25,678.85 and 6,585.44

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Solution

The fourth proportional to 17,117.87, 25,678.85 and 6,585.44 is: 9,878.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,117.87 : 25,678.85 = 6,585.44 : x
  2. Step 2: Convert to fraction form
    17,117.87/25,678.85 = 6,585.44/x
  3. Step 3: Cross multiply
    17,117.87x = 25,678.85 × 6,585.44
  4. Step 4: Simplify right side
    17,117.87x = 169,106,364.62
  5. Step 5: Solve for x
    x = 169,106,364.62/17,117.87
  6. Step 6: Final answer
    x = 9,878.94

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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.