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Finding the Fourth Proportional to 24,967.92, 37,458.42 and 11,820

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Solution

The fourth proportional to 24,967.92, 37,458.42 and 11,820 is: 17,733.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,967.92 : 37,458.42 = 11,820 : x
  2. Step 2: Convert to fraction form
    24,967.92/37,458.42 = 11,820/x
  3. Step 3: Cross multiply
    24,967.92x = 37,458.42 × 11,820
  4. Step 4: Simplify right side
    24,967.92x = 442,758,524.40
  5. Step 5: Solve for x
    x = 442,758,524.40/24,967.92
  6. Step 6: Final answer
    x = 17,733.10

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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.