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Finding the Fourth Proportional to 17,496.78, 26,222.10 and 7,102.86

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Solution

The fourth proportional to 17,496.78, 26,222.10 and 7,102.86 is: 10,644.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,496.78 : 26,222.10 = 7,102.86 : x
  2. Step 2: Convert to fraction form
    17,496.78/26,222.10 = 7,102.86/x
  3. Step 3: Cross multiply
    17,496.78x = 26,222.10 × 7,102.86
  4. Step 4: Simplify right side
    17,496.78x = 186,251,905.21
  5. Step 5: Solve for x
    x = 186,251,905.21/17,496.78
  6. Step 6: Final answer
    x = 10,644.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.