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Finding the Fourth Proportional to 13,464.09, 18,578.16 and 7,494.93

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Solution

The fourth proportional to 13,464.09, 18,578.16 and 7,494.93 is: 10,341.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,464.09 : 18,578.16 = 7,494.93 : x
  2. Step 2: Convert to fraction form
    13,464.09/18,578.16 = 7,494.93/x
  3. Step 3: Cross multiply
    13,464.09x = 18,578.16 × 7,494.93
  4. Step 4: Simplify right side
    13,464.09x = 139,242,008.73
  5. Step 5: Solve for x
    x = 139,242,008.73/13,464.09
  6. Step 6: Final answer
    x = 10,341.73

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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.