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Finding the Fourth Proportional to 21,707.67, 32,563.88 and 6,913.11

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Solution

The fourth proportional to 21,707.67, 32,563.88 and 6,913.11 is: 10,370.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,707.67 : 32,563.88 = 6,913.11 : x
  2. Step 2: Convert to fraction form
    21,707.67/32,563.88 = 6,913.11/x
  3. Step 3: Cross multiply
    21,707.67x = 32,563.88 × 6,913.11
  4. Step 4: Simplify right side
    21,707.67x = 225,117,684.47
  5. Step 5: Solve for x
    x = 225,117,684.47/21,707.67
  6. Step 6: Final answer
    x = 10,370.42

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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.