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Finding the Fourth Proportional to 13,115.72, 19,675.74 and 6,542.12

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Solution

The fourth proportional to 13,115.72, 19,675.74 and 6,542.12 is: 9,814.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,115.72 : 19,675.74 = 6,542.12 : x
  2. Step 2: Convert to fraction form
    13,115.72/19,675.74 = 6,542.12/x
  3. Step 3: Cross multiply
    13,115.72x = 19,675.74 × 6,542.12
  4. Step 4: Simplify right side
    13,115.72x = 128,720,953.79
  5. Step 5: Solve for x
    x = 128,720,953.79/13,115.72
  6. Step 6: Final answer
    x = 9,814.25

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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.