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Finding the Fourth Proportional to 22,679.68, 31,298.60 and 13,728.80

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Solution

The fourth proportional to 22,679.68, 31,298.60 and 13,728.80 is: 18,946.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,679.68 : 31,298.60 = 13,728.80 : x
  2. Step 2: Convert to fraction form
    22,679.68/31,298.60 = 13,728.80/x
  3. Step 3: Cross multiply
    22,679.68x = 31,298.60 × 13,728.80
  4. Step 4: Simplify right side
    22,679.68x = 429,692,219.68
  5. Step 5: Solve for x
    x = 429,692,219.68/22,679.68
  6. Step 6: Final answer
    x = 18,946.13

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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.