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Finding the Fourth Proportional to 15,774.44, 21,769.38 and 9,059.96

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Solution

The fourth proportional to 15,774.44, 21,769.38 and 9,059.96 is: 12,503.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,774.44 : 21,769.38 = 9,059.96 : x
  2. Step 2: Convert to fraction form
    15,774.44/21,769.38 = 9,059.96/x
  3. Step 3: Cross multiply
    15,774.44x = 21,769.38 × 9,059.96
  4. Step 4: Simplify right side
    15,774.44x = 197,229,712.02
  5. Step 5: Solve for x
    x = 197,229,712.02/15,774.44
  6. Step 6: Final answer
    x = 12,503.12

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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.