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Finding the Fourth Proportional to 24,841.08, 37,257.84 and 12,357

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Solution

The fourth proportional to 24,841.08, 37,257.84 and 12,357 is: 18,533.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,841.08 : 37,257.84 = 12,357 : x
  2. Step 2: Convert to fraction form
    24,841.08/37,257.84 = 12,357/x
  3. Step 3: Cross multiply
    24,841.08x = 37,257.84 × 12,357
  4. Step 4: Simplify right side
    24,841.08x = 460,395,128.88
  5. Step 5: Solve for x
    x = 460,395,128.88/24,841.08
  6. Step 6: Final answer
    x = 18,533.62

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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.