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Finding the Fourth Proportional to 23,299.44, 32,154 and 13,228.32

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Solution

The fourth proportional to 23,299.44, 32,154 and 13,228.32 is: 18,255.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,299.44 : 32,154 = 13,228.32 : x
  2. Step 2: Convert to fraction form
    23,299.44/32,154 = 13,228.32/x
  3. Step 3: Cross multiply
    23,299.44x = 32,154 × 13,228.32
  4. Step 4: Simplify right side
    23,299.44x = 425,343,401.28
  5. Step 5: Solve for x
    x = 425,343,401.28/23,299.44
  6. Step 6: Final answer
    x = 18,255.52

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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.