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Finding the Fourth Proportional to 13,151.27, 19,730.59 and 7,594.47

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Solution

The fourth proportional to 13,151.27, 19,730.59 and 7,594.47 is: 11,393.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,151.27 : 19,730.59 = 7,594.47 : x
  2. Step 2: Convert to fraction form
    13,151.27/19,730.59 = 7,594.47/x
  3. Step 3: Cross multiply
    13,151.27x = 19,730.59 × 7,594.47
  4. Step 4: Simplify right side
    13,151.27x = 149,843,354.85
  5. Step 5: Solve for x
    x = 149,843,354.85/13,151.27
  6. Step 6: Final answer
    x = 11,393.83

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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.