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Finding the Fourth Proportional to 15,769.74, 23,660.03 and 7,010.78

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Solution

The fourth proportional to 15,769.74, 23,660.03 and 7,010.78 is: 10,518.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,769.74 : 23,660.03 = 7,010.78 : x
  2. Step 2: Convert to fraction form
    15,769.74/23,660.03 = 7,010.78/x
  3. Step 3: Cross multiply
    15,769.74x = 23,660.03 × 7,010.78
  4. Step 4: Simplify right side
    15,769.74x = 165,875,265.12
  5. Step 5: Solve for x
    x = 165,875,265.12/15,769.74
  6. Step 6: Final answer
    x = 10,518.58

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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.