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Finding the Fourth Proportional to 15,895.22, 23,843.28 and 4,208.45

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Solution

The fourth proportional to 15,895.22, 23,843.28 and 4,208.45 is: 6,312.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,895.22 : 23,843.28 = 4,208.45 : x
  2. Step 2: Convert to fraction form
    15,895.22/23,843.28 = 4,208.45/x
  3. Step 3: Cross multiply
    15,895.22x = 23,843.28 × 4,208.45
  4. Step 4: Simplify right side
    15,895.22x = 100,343,132.50
  5. Step 5: Solve for x
    x = 100,343,132.50/15,895.22
  6. Step 6: Final answer
    x = 6,312.79

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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.