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Finding the Fourth Proportional to 12,542.19, 18,813.32 and 5,146.76

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Solution

The fourth proportional to 12,542.19, 18,813.32 and 5,146.76 is: 7,720.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,542.19 : 18,813.32 = 5,146.76 : x
  2. Step 2: Convert to fraction form
    12,542.19/18,813.32 = 5,146.76/x
  3. Step 3: Cross multiply
    12,542.19x = 18,813.32 × 5,146.76
  4. Step 4: Simplify right side
    12,542.19x = 96,827,542.34
  5. Step 5: Solve for x
    x = 96,827,542.34/12,542.19
  6. Step 6: Final answer
    x = 7,720.15

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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.