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Finding the Fourth Proportional to 20,497.22, 30,746.31 and 7,349.30

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Solution

The fourth proportional to 20,497.22, 30,746.31 and 7,349.30 is: 11,024.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,497.22 : 30,746.31 = 7,349.30 : x
  2. Step 2: Convert to fraction form
    20,497.22/30,746.31 = 7,349.30/x
  3. Step 3: Cross multiply
    20,497.22x = 30,746.31 × 7,349.30
  4. Step 4: Simplify right side
    20,497.22x = 225,963,856.08
  5. Step 5: Solve for x
    x = 225,963,856.08/20,497.22
  6. Step 6: Final answer
    x = 11,024.12

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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.