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Finding the Fourth Proportional to 24,349, 33,601.86 and 13,171.24

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Solution

The fourth proportional to 24,349, 33,601.86 and 13,171.24 is: 18,176.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,349 : 33,601.86 = 13,171.24 : x
  2. Step 2: Convert to fraction form
    24,349/33,601.86 = 13,171.24/x
  3. Step 3: Cross multiply
    24,349x = 33,601.86 × 13,171.24
  4. Step 4: Simplify right side
    24,349x = 442,578,162.51
  5. Step 5: Solve for x
    x = 442,578,162.51/24,349
  6. Step 6: Final answer
    x = 18,176.44

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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.