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Finding the Fourth Proportional to 15,856.40, 23,785.74 and 5,468

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Solution

The fourth proportional to 15,856.40, 23,785.74 and 5,468 is: 8,202.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,856.40 : 23,785.74 = 5,468 : x
  2. Step 2: Convert to fraction form
    15,856.40/23,785.74 = 5,468/x
  3. Step 3: Cross multiply
    15,856.40x = 23,785.74 × 5,468
  4. Step 4: Simplify right side
    15,856.40x = 130,060,426.32
  5. Step 5: Solve for x
    x = 130,060,426.32/15,856.40
  6. Step 6: Final answer
    x = 8,202.39

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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.