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Finding the Fourth Proportional to 19,914.36, 29,856.18 and 9,524.28

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Solution

The fourth proportional to 19,914.36, 29,856.18 and 9,524.28 is: 14,279.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,914.36 : 29,856.18 = 9,524.28 : x
  2. Step 2: Convert to fraction form
    19,914.36/29,856.18 = 9,524.28/x
  3. Step 3: Cross multiply
    19,914.36x = 29,856.18 × 9,524.28
  4. Step 4: Simplify right side
    19,914.36x = 284,358,618.05
  5. Step 5: Solve for x
    x = 284,358,618.05/19,914.36
  6. Step 6: Final answer
    x = 14,279.07

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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.