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Finding the Fourth Proportional to 12,523.39, 18,785.66 and 6,972.55

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Solution

The fourth proportional to 12,523.39, 18,785.66 and 6,972.55 is: 10,459.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,523.39 : 18,785.66 = 6,972.55 : x
  2. Step 2: Convert to fraction form
    12,523.39/18,785.66 = 6,972.55/x
  3. Step 3: Cross multiply
    12,523.39x = 18,785.66 × 6,972.55
  4. Step 4: Simplify right side
    12,523.39x = 130,983,918.77
  5. Step 5: Solve for x
    x = 130,983,918.77/12,523.39
  6. Step 6: Final answer
    x = 10,459.15

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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.