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Finding the Fourth Proportional to 26,156.70, 39,212.34 and 10,564.20

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Solution

The fourth proportional to 26,156.70, 39,212.34 and 10,564.20 is: 15,837.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,156.70 : 39,212.34 = 10,564.20 : x
  2. Step 2: Convert to fraction form
    26,156.70/39,212.34 = 10,564.20/x
  3. Step 3: Cross multiply
    26,156.70x = 39,212.34 × 10,564.20
  4. Step 4: Simplify right side
    26,156.70x = 414,247,002.23
  5. Step 5: Solve for x
    x = 414,247,002.23/26,156.70
  6. Step 6: Final answer
    x = 15,837.13

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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.