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Finding the Fourth Proportional to 22,299.36, 30,774.09 and 13,345.16

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Solution

The fourth proportional to 22,299.36, 30,774.09 and 13,345.16 is: 18,416.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,299.36 : 30,774.09 = 13,345.16 : x
  2. Step 2: Convert to fraction form
    22,299.36/30,774.09 = 13,345.16/x
  3. Step 3: Cross multiply
    22,299.36x = 30,774.09 × 13,345.16
  4. Step 4: Simplify right side
    22,299.36x = 410,685,154.90
  5. Step 5: Solve for x
    x = 410,685,154.90/22,299.36
  6. Step 6: Final answer
    x = 18,416.90

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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.