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Finding the Fourth Proportional to 16,124.94, 24,187.50 and 5,737.50

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Solution

The fourth proportional to 16,124.94, 24,187.50 and 5,737.50 is: 8,606.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,124.94 : 24,187.50 = 5,737.50 : x
  2. Step 2: Convert to fraction form
    16,124.94/24,187.50 = 5,737.50/x
  3. Step 3: Cross multiply
    16,124.94x = 24,187.50 × 5,737.50
  4. Step 4: Simplify right side
    16,124.94x = 138,775,781.25
  5. Step 5: Solve for x
    x = 138,775,781.25/16,124.94
  6. Step 6: Final answer
    x = 8,606.28

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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.