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Finding the Fourth Proportional to 16,021.74, 24,032 and 4,335.24

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Solution

The fourth proportional to 16,021.74, 24,032 and 4,335.24 is: 6,502.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,021.74 : 24,032 = 4,335.24 : x
  2. Step 2: Convert to fraction form
    16,021.74/24,032 = 4,335.24/x
  3. Step 3: Cross multiply
    16,021.74x = 24,032 × 4,335.24
  4. Step 4: Simplify right side
    16,021.74x = 104,184,487.68
  5. Step 5: Solve for x
    x = 104,184,487.68/16,021.74
  6. Step 6: Final answer
    x = 6,502.69

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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.