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Finding the Fourth Proportional to 16,235.24, 24,288.78 and 12,509.24

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Solution

The fourth proportional to 16,235.24, 24,288.78 and 12,509.24 is: 18,714.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,235.24 : 24,288.78 = 12,509.24 : x
  2. Step 2: Convert to fraction form
    16,235.24/24,288.78 = 12,509.24/x
  3. Step 3: Cross multiply
    16,235.24x = 24,288.78 × 12,509.24
  4. Step 4: Simplify right side
    16,235.24x = 303,834,178.33
  5. Step 5: Solve for x
    x = 303,834,178.33/16,235.24
  6. Step 6: Final answer
    x = 18,714.49

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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.