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Finding the Fourth Proportional to 20,502.48, 30,746.16 and 7,351.68

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Solution

The fourth proportional to 20,502.48, 30,746.16 and 7,351.68 is: 11,024.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,502.48 : 30,746.16 = 7,351.68 : x
  2. Step 2: Convert to fraction form
    20,502.48/30,746.16 = 7,351.68/x
  3. Step 3: Cross multiply
    20,502.48x = 30,746.16 × 7,351.68
  4. Step 4: Simplify right side
    20,502.48x = 226,035,929.55
  5. Step 5: Solve for x
    x = 226,035,929.55/20,502.48
  6. Step 6: Final answer
    x = 11,024.81

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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.