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Finding the Fourth Proportional to 15,166.48, 22,749.72 and 5,926

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Solution

The fourth proportional to 15,166.48, 22,749.72 and 5,926 is: 8,889

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,166.48 : 22,749.72 = 5,926 : x
  2. Step 2: Convert to fraction form
    15,166.48/22,749.72 = 5,926/x
  3. Step 3: Cross multiply
    15,166.48x = 22,749.72 × 5,926
  4. Step 4: Simplify right side
    15,166.48x = 134,814,840.72
  5. Step 5: Solve for x
    x = 134,814,840.72/15,166.48
  6. Step 6: Final answer
    x = 8,889

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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.