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Finding the Fourth Proportional to 16,393.74, 24,590.56 and 7,027.68

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Solution

The fourth proportional to 16,393.74, 24,590.56 and 7,027.68 is: 10,541.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,393.74 : 24,590.56 = 7,027.68 : x
  2. Step 2: Convert to fraction form
    16,393.74/24,590.56 = 7,027.68/x
  3. Step 3: Cross multiply
    16,393.74x = 24,590.56 × 7,027.68
  4. Step 4: Simplify right side
    16,393.74x = 172,814,569.13
  5. Step 5: Solve for x
    x = 172,814,569.13/16,393.74
  6. Step 6: Final answer
    x = 10,541.50

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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.