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Finding the Fourth Proportional to 15,166, 22,749.81 and 4,778.56

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Solution

The fourth proportional to 15,166, 22,749.81 and 4,778.56 is: 7,168.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,166 : 22,749.81 = 4,778.56 : x
  2. Step 2: Convert to fraction form
    15,166/22,749.81 = 4,778.56/x
  3. Step 3: Cross multiply
    15,166x = 22,749.81 × 4,778.56
  4. Step 4: Simplify right side
    15,166x = 108,711,332.07
  5. Step 5: Solve for x
    x = 108,711,332.07/15,166
  6. Step 6: Final answer
    x = 7,168.10

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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.