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Finding the Fourth Proportional to 15,232.50, 22,827.83 and 8,572.21

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Solution

The fourth proportional to 15,232.50, 22,827.83 and 8,572.21 is: 12,846.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,232.50 : 22,827.83 = 8,572.21 : x
  2. Step 2: Convert to fraction form
    15,232.50/22,827.83 = 8,572.21/x
  3. Step 3: Cross multiply
    15,232.50x = 22,827.83 × 8,572.21
  4. Step 4: Simplify right side
    15,232.50x = 195,684,852.67
  5. Step 5: Solve for x
    x = 195,684,852.67/15,232.50
  6. Step 6: Final answer
    x = 12,846.54

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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.