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Finding the Fourth Proportional to 15,433, 23,144.72 and 5,571

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Solution

The fourth proportional to 15,433, 23,144.72 and 5,571 is: 8,354.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,433 : 23,144.72 = 5,571 : x
  2. Step 2: Convert to fraction form
    15,433/23,144.72 = 5,571/x
  3. Step 3: Cross multiply
    15,433x = 23,144.72 × 5,571
  4. Step 4: Simplify right side
    15,433x = 128,939,235.12
  5. Step 5: Solve for x
    x = 128,939,235.12/15,433
  6. Step 6: Final answer
    x = 8,354.77

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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.