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Finding the Fourth Proportional to 12,522.36, 18,769.35 and 9,728.28

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Solution

The fourth proportional to 12,522.36, 18,769.35 and 9,728.28 is: 14,581.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,522.36 : 18,769.35 = 9,728.28 : x
  2. Step 2: Convert to fraction form
    12,522.36/18,769.35 = 9,728.28/x
  3. Step 3: Cross multiply
    12,522.36x = 18,769.35 × 9,728.28
  4. Step 4: Simplify right side
    12,522.36x = 182,593,492.22
  5. Step 5: Solve for x
    x = 182,593,492.22/12,522.36
  6. Step 6: Final answer
    x = 14,581.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.