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Finding the Fourth Proportional to 17,716, 26,585.52 and 6,772

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Solution

The fourth proportional to 17,716, 26,585.52 and 6,772 is: 10,162.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,716 : 26,585.52 = 6,772 : x
  2. Step 2: Convert to fraction form
    17,716/26,585.52 = 6,772/x
  3. Step 3: Cross multiply
    17,716x = 26,585.52 × 6,772
  4. Step 4: Simplify right side
    17,716x = 180,037,141.44
  5. Step 5: Solve for x
    x = 180,037,141.44/17,716
  6. Step 6: Final answer
    x = 10,162.40

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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.