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Finding the Fourth Proportional to 15,856.88, 23,783.52 and 4,171

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Solution

The fourth proportional to 15,856.88, 23,783.52 and 4,171 is: 6,256.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,856.88 : 23,783.52 = 4,171 : x
  2. Step 2: Convert to fraction form
    15,856.88/23,783.52 = 4,171/x
  3. Step 3: Cross multiply
    15,856.88x = 23,783.52 × 4,171
  4. Step 4: Simplify right side
    15,856.88x = 99,201,061.92
  5. Step 5: Solve for x
    x = 99,201,061.92/15,856.88
  6. Step 6: Final answer
    x = 6,256.03

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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.