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Finding the Fourth Proportional to 19,496.16, 29,233.44 and 9,102.24

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Solution

The fourth proportional to 19,496.16, 29,233.44 and 9,102.24 is: 13,648.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,496.16 : 29,233.44 = 9,102.24 : x
  2. Step 2: Convert to fraction form
    19,496.16/29,233.44 = 9,102.24/x
  3. Step 3: Cross multiply
    19,496.16x = 29,233.44 × 9,102.24
  4. Step 4: Simplify right side
    19,496.16x = 266,089,786.91
  5. Step 5: Solve for x
    x = 266,089,786.91/19,496.16
  6. Step 6: Final answer
    x = 13,648.32

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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.