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Finding the Fourth Proportional to 20,354.10, 30,530.07 and 6,502.02

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Solution

The fourth proportional to 20,354.10, 30,530.07 and 6,502.02 is: 9,752.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,354.10 : 30,530.07 = 6,502.02 : x
  2. Step 2: Convert to fraction form
    20,354.10/30,530.07 = 6,502.02/x
  3. Step 3: Cross multiply
    20,354.10x = 30,530.07 × 6,502.02
  4. Step 4: Simplify right side
    20,354.10x = 198,507,125.74
  5. Step 5: Solve for x
    x = 198,507,125.74/20,354.10
  6. Step 6: Final answer
    x = 9,752.68

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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.