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Finding the Fourth Proportional to 13,473.98, 18,594.42 and 7,505.75

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Solution

The fourth proportional to 13,473.98, 18,594.42 and 7,505.75 is: 10,358.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,473.98 : 18,594.42 = 7,505.75 : x
  2. Step 2: Convert to fraction form
    13,473.98/18,594.42 = 7,505.75/x
  3. Step 3: Cross multiply
    13,473.98x = 18,594.42 × 7,505.75
  4. Step 4: Simplify right side
    13,473.98x = 139,565,067.92
  5. Step 5: Solve for x
    x = 139,565,067.92/13,473.98
  6. Step 6: Final answer
    x = 10,358.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.