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Finding the Fourth Proportional to 22,578.93, 31,159.25 and 13,018.64

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Solution

The fourth proportional to 22,578.93, 31,159.25 and 13,018.64 is: 17,965.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,578.93 : 31,159.25 = 13,018.64 : x
  2. Step 2: Convert to fraction form
    22,578.93/31,159.25 = 13,018.64/x
  3. Step 3: Cross multiply
    22,578.93x = 31,159.25 × 13,018.64
  4. Step 4: Simplify right side
    22,578.93x = 405,650,837.53
  5. Step 5: Solve for x
    x = 405,650,837.53/22,578.93
  6. Step 6: Final answer
    x = 17,965.90

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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.