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Finding the Fourth Proportional to 21,734.82, 32,602.22 and 6,152.45

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Solution

The fourth proportional to 21,734.82, 32,602.22 and 6,152.45 is: 9,228.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,734.82 : 32,602.22 = 6,152.45 : x
  2. Step 2: Convert to fraction form
    21,734.82/32,602.22 = 6,152.45/x
  3. Step 3: Cross multiply
    21,734.82x = 32,602.22 × 6,152.45
  4. Step 4: Simplify right side
    21,734.82x = 200,583,334.67
  5. Step 5: Solve for x
    x = 200,583,334.67/21,734.82
  6. Step 6: Final answer
    x = 9,228.66

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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.