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Finding the Fourth Proportional to 22,485.89, 31,034.19 and 13,412.40

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Solution

The fourth proportional to 22,485.89, 31,034.19 and 13,412.40 is: 18,511.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,485.89 : 31,034.19 = 13,412.40 : x
  2. Step 2: Convert to fraction form
    22,485.89/31,034.19 = 13,412.40/x
  3. Step 3: Cross multiply
    22,485.89x = 31,034.19 × 13,412.40
  4. Step 4: Simplify right side
    22,485.89x = 416,242,969.96
  5. Step 5: Solve for x
    x = 416,242,969.96/22,485.89
  6. Step 6: Final answer
    x = 18,511.30

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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.