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Finding the Fourth Proportional to 36,509.34, 54,764.28 and 12,815.76

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Solution

The fourth proportional to 36,509.34, 54,764.28 and 12,815.76 is: 19,223.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,509.34 : 54,764.28 = 12,815.76 : x
  2. Step 2: Convert to fraction form
    36,509.34/54,764.28 = 12,815.76/x
  3. Step 3: Cross multiply
    36,509.34x = 54,764.28 × 12,815.76
  4. Step 4: Simplify right side
    36,509.34x = 701,845,869.05
  5. Step 5: Solve for x
    x = 701,845,869.05/36,509.34
  6. Step 6: Final answer
    x = 19,223.73

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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.