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Finding the Fourth Proportional to 26,102, 39,158.76 and 9,686

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Solution

The fourth proportional to 26,102, 39,158.76 and 9,686 is: 14,531.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,102 : 39,158.76 = 9,686 : x
  2. Step 2: Convert to fraction form
    26,102/39,158.76 = 9,686/x
  3. Step 3: Cross multiply
    26,102x = 39,158.76 × 9,686
  4. Step 4: Simplify right side
    26,102x = 379,291,749.36
  5. Step 5: Solve for x
    x = 379,291,749.36/26,102
  6. Step 6: Final answer
    x = 14,531.14

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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.