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Finding the Fourth Proportional to 12,538.58, 18,780.13 and 5,120.54

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Solution

The fourth proportional to 12,538.58, 18,780.13 and 5,120.54 is: 7,669.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.58 : 18,780.13 = 5,120.54 : x
  2. Step 2: Convert to fraction form
    12,538.58/18,780.13 = 5,120.54/x
  3. Step 3: Cross multiply
    12,538.58x = 18,780.13 × 5,120.54
  4. Step 4: Simplify right side
    12,538.58x = 96,164,441.02
  5. Step 5: Solve for x
    x = 96,164,441.02/12,538.58
  6. Step 6: Final answer
    x = 7,669.49

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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.