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Finding the Fourth Proportional to 24,741.70, 37,118.04 and 12,268.51

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Solution

The fourth proportional to 24,741.70, 37,118.04 and 12,268.51 is: 18,405.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,741.70 : 37,118.04 = 12,268.51 : x
  2. Step 2: Convert to fraction form
    24,741.70/37,118.04 = 12,268.51/x
  3. Step 3: Cross multiply
    24,741.70x = 37,118.04 × 12,268.51
  4. Step 4: Simplify right side
    24,741.70x = 455,383,044.92
  5. Step 5: Solve for x
    x = 455,383,044.92/24,741.70
  6. Step 6: Final answer
    x = 18,405.49

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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.