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Finding the Fourth Proportional to 15,166.40, 22,749.60 and 7,768.40

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Solution

The fourth proportional to 15,166.40, 22,749.60 and 7,768.40 is: 11,652.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,166.40 : 22,749.60 = 7,768.40 : x
  2. Step 2: Convert to fraction form
    15,166.40/22,749.60 = 7,768.40/x
  3. Step 3: Cross multiply
    15,166.40x = 22,749.60 × 7,768.40
  4. Step 4: Simplify right side
    15,166.40x = 176,727,992.64
  5. Step 5: Solve for x
    x = 176,727,992.64/15,166.40
  6. Step 6: Final answer
    x = 11,652.60

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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.