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Finding the Fourth Proportional to 22,837.44, 31,515.84 and 13,406.16

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Solution

The fourth proportional to 22,837.44, 31,515.84 and 13,406.16 is: 18,500.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,837.44 : 31,515.84 = 13,406.16 : x
  2. Step 2: Convert to fraction form
    22,837.44/31,515.84 = 13,406.16/x
  3. Step 3: Cross multiply
    22,837.44x = 31,515.84 × 13,406.16
  4. Step 4: Simplify right side
    22,837.44x = 422,506,393.57
  5. Step 5: Solve for x
    x = 422,506,393.57/22,837.44
  6. Step 6: Final answer
    x = 18,500.60

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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.