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Finding the Fourth Proportional to 22,544.16, 31,116.16 and 13,114.16

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Solution

The fourth proportional to 22,544.16, 31,116.16 and 13,114.16 is: 18,100.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,544.16 : 31,116.16 = 13,114.16 : x
  2. Step 2: Convert to fraction form
    22,544.16/31,116.16 = 13,114.16/x
  3. Step 3: Cross multiply
    22,544.16x = 31,116.16 × 13,114.16
  4. Step 4: Simplify right side
    22,544.16x = 408,062,300.83
  5. Step 5: Solve for x
    x = 408,062,300.83/22,544.16
  6. Step 6: Final answer
    x = 18,100.58

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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.