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Finding the Fourth Proportional to 16,333.42, 24,502.42 and 5,237.50

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Solution

The fourth proportional to 16,333.42, 24,502.42 and 5,237.50 is: 7,856.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,333.42 : 24,502.42 = 5,237.50 : x
  2. Step 2: Convert to fraction form
    16,333.42/24,502.42 = 5,237.50/x
  3. Step 3: Cross multiply
    16,333.42x = 24,502.42 × 5,237.50
  4. Step 4: Simplify right side
    16,333.42x = 128,331,424.75
  5. Step 5: Solve for x
    x = 128,331,424.75/16,333.42
  6. Step 6: Final answer
    x = 7,856.98

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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.