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Finding the Fourth Proportional to 22,583.16, 31,169.13 and 13,029.22

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Solution

The fourth proportional to 22,583.16, 31,169.13 and 13,029.22 is: 17,982.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,583.16 : 31,169.13 = 13,029.22 : x
  2. Step 2: Convert to fraction form
    22,583.16/31,169.13 = 13,029.22/x
  3. Step 3: Cross multiply
    22,583.16x = 31,169.13 × 13,029.22
  4. Step 4: Simplify right side
    22,583.16x = 406,109,442.08
  5. Step 5: Solve for x
    x = 406,109,442.08/22,583.16
  6. Step 6: Final answer
    x = 17,982.84

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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.