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Finding the Fourth Proportional to 16,029.54, 24,041.07 and 13,424.58

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Solution

The fourth proportional to 16,029.54, 24,041.07 and 13,424.58 is: 20,134.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,029.54 : 24,041.07 = 13,424.58 : x
  2. Step 2: Convert to fraction form
    16,029.54/24,041.07 = 13,424.58/x
  3. Step 3: Cross multiply
    16,029.54x = 24,041.07 × 13,424.58
  4. Step 4: Simplify right side
    16,029.54x = 322,741,267.50
  5. Step 5: Solve for x
    x = 322,741,267.50/16,029.54
  6. Step 6: Final answer
    x = 20,134.16

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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.