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Finding the Fourth Proportional to 17,294.76, 23,865.15 and 10,219.83

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Solution

The fourth proportional to 17,294.76, 23,865.15 and 10,219.83 is: 14,102.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,294.76 : 23,865.15 = 10,219.83 : x
  2. Step 2: Convert to fraction form
    17,294.76/23,865.15 = 10,219.83/x
  3. Step 3: Cross multiply
    17,294.76x = 23,865.15 × 10,219.83
  4. Step 4: Simplify right side
    17,294.76x = 243,897,775.92
  5. Step 5: Solve for x
    x = 243,897,775.92/17,294.76
  6. Step 6: Final answer
    x = 14,102.41

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1.5x scale

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.