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Finding the Fourth Proportional to 12,528.45, 18,749.16 and 7,782.66

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Solution

The fourth proportional to 12,528.45, 18,749.16 and 7,782.66 is: 11,646.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,528.45 : 18,749.16 = 7,782.66 : x
  2. Step 2: Convert to fraction form
    12,528.45/18,749.16 = 7,782.66/x
  3. Step 3: Cross multiply
    12,528.45x = 18,749.16 × 7,782.66
  4. Step 4: Simplify right side
    12,528.45x = 145,918,337.57
  5. Step 5: Solve for x
    x = 145,918,337.57/12,528.45
  6. Step 6: Final answer
    x = 11,646.96

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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.