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Finding the Fourth Proportional to 21,608, 32,417.47 and 6,025.63

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Solution

The fourth proportional to 21,608, 32,417.47 and 6,025.63 is: 9,039.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,608 : 32,417.47 = 6,025.63 : x
  2. Step 2: Convert to fraction form
    21,608/32,417.47 = 6,025.63/x
  3. Step 3: Cross multiply
    21,608x = 32,417.47 × 6,025.63
  4. Step 4: Simplify right side
    21,608x = 195,335,517.67
  5. Step 5: Solve for x
    x = 195,335,517.67/21,608
  6. Step 6: Final answer
    x = 9,039.96

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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.