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Finding the Fourth Proportional to 22,578.74, 31,156 and 13,018.52

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Solution

The fourth proportional to 22,578.74, 31,156 and 13,018.52 is: 17,964.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,578.74 : 31,156 = 13,018.52 : x
  2. Step 2: Convert to fraction form
    22,578.74/31,156 = 13,018.52/x
  3. Step 3: Cross multiply
    22,578.74x = 31,156 × 13,018.52
  4. Step 4: Simplify right side
    22,578.74x = 405,605,009.12
  5. Step 5: Solve for x
    x = 405,605,009.12/22,578.74
  6. Step 6: Final answer
    x = 17,964.02

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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.