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Finding the Fourth Proportional to 17,678.41, 24,396.83 and 9,721.24

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Solution

The fourth proportional to 17,678.41, 24,396.83 and 9,721.24 is: 13,415.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,678.41 : 24,396.83 = 9,721.24 : x
  2. Step 2: Convert to fraction form
    17,678.41/24,396.83 = 9,721.24/x
  3. Step 3: Cross multiply
    17,678.41x = 24,396.83 × 9,721.24
  4. Step 4: Simplify right side
    17,678.41x = 237,167,366.53
  5. Step 5: Solve for x
    x = 237,167,366.53/17,678.41
  6. Step 6: Final answer
    x = 13,415.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.