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Finding the Fourth Proportional to 21,333.44, 32,002.86 and 7,296.16

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Solution

The fourth proportional to 21,333.44, 32,002.86 and 7,296.16 is: 10,945.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,333.44 : 32,002.86 = 7,296.16 : x
  2. Step 2: Convert to fraction form
    21,333.44/32,002.86 = 7,296.16/x
  3. Step 3: Cross multiply
    21,333.44x = 32,002.86 × 7,296.16
  4. Step 4: Simplify right side
    21,333.44x = 233,497,987.02
  5. Step 5: Solve for x
    x = 233,497,987.02/21,333.44
  6. Step 6: Final answer
    x = 10,945.16

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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.