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Finding the Fourth Proportional to 15,969.18, 22,035.42 and 9,254.76

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Solution

The fourth proportional to 15,969.18, 22,035.42 and 9,254.76 is: 12,770.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,969.18 : 22,035.42 = 9,254.76 : x
  2. Step 2: Convert to fraction form
    15,969.18/22,035.42 = 9,254.76/x
  3. Step 3: Cross multiply
    15,969.18x = 22,035.42 × 9,254.76
  4. Step 4: Simplify right side
    15,969.18x = 203,932,523.60
  5. Step 5: Solve for x
    x = 203,932,523.60/15,969.18
  6. Step 6: Final answer
    x = 12,770.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.