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Finding the Fourth Proportional to 21,496.40, 32,225.16 and 7,642.16

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Solution

The fourth proportional to 21,496.40, 32,225.16 and 7,642.16 is: 11,456.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,496.40 : 32,225.16 = 7,642.16 : x
  2. Step 2: Convert to fraction form
    21,496.40/32,225.16 = 7,642.16/x
  3. Step 3: Cross multiply
    21,496.40x = 32,225.16 × 7,642.16
  4. Step 4: Simplify right side
    21,496.40x = 246,269,828.75
  5. Step 5: Solve for x
    x = 246,269,828.75/21,496.40
  6. Step 6: Final answer
    x = 11,456.33

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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.