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Finding the Fourth Proportional to 15,052.76, 20,769.84 and 9,460.52

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Solution

The fourth proportional to 15,052.76, 20,769.84 and 9,460.52 is: 13,053.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,052.76 : 20,769.84 = 9,460.52 : x
  2. Step 2: Convert to fraction form
    15,052.76/20,769.84 = 9,460.52/x
  3. Step 3: Cross multiply
    15,052.76x = 20,769.84 × 9,460.52
  4. Step 4: Simplify right side
    15,052.76x = 196,493,486.72
  5. Step 5: Solve for x
    x = 196,493,486.72/15,052.76
  6. Step 6: Final answer
    x = 13,053.65

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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.