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Finding the Fourth Proportional to 16,426.74, 24,638.85 and 6,037.50

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Solution

The fourth proportional to 16,426.74, 24,638.85 and 6,037.50 is: 9,055.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,426.74 : 24,638.85 = 6,037.50 : x
  2. Step 2: Convert to fraction form
    16,426.74/24,638.85 = 6,037.50/x
  3. Step 3: Cross multiply
    16,426.74x = 24,638.85 × 6,037.50
  4. Step 4: Simplify right side
    16,426.74x = 148,757,056.88
  5. Step 5: Solve for x
    x = 148,757,056.88/16,426.74
  6. Step 6: Final answer
    x = 9,055.79

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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.