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Finding the Fourth Proportional to 22,816.42, 31,486.30 and 12,745

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Solution

The fourth proportional to 22,816.42, 31,486.30 and 12,745 is: 17,587.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,816.42 : 31,486.30 = 12,745 : x
  2. Step 2: Convert to fraction form
    22,816.42/31,486.30 = 12,745/x
  3. Step 3: Cross multiply
    22,816.42x = 31,486.30 × 12,745
  4. Step 4: Simplify right side
    22,816.42x = 401,292,893.50
  5. Step 5: Solve for x
    x = 401,292,893.50/22,816.42
  6. Step 6: Final answer
    x = 17,587.90

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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.