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Finding the Fourth Proportional to 24,508.40, 36,777.72 and 11,358.32

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Solution

The fourth proportional to 24,508.40, 36,777.72 and 11,358.32 is: 17,044.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,508.40 : 36,777.72 = 11,358.32 : x
  2. Step 2: Convert to fraction form
    24,508.40/36,777.72 = 11,358.32/x
  3. Step 3: Cross multiply
    24,508.40x = 36,777.72 × 11,358.32
  4. Step 4: Simplify right side
    24,508.40x = 417,733,112.63
  5. Step 5: Solve for x
    x = 417,733,112.63/24,508.40
  6. Step 6: Final answer
    x = 17,044.49

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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.