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Finding the Fourth Proportional to 21,576, 32,308.32 and 12,816.96

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Solution

The fourth proportional to 21,576, 32,308.32 and 12,816.96 is: 19,192.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,576 : 32,308.32 = 12,816.96 : x
  2. Step 2: Convert to fraction form
    21,576/32,308.32 = 12,816.96/x
  3. Step 3: Cross multiply
    21,576x = 32,308.32 × 12,816.96
  4. Step 4: Simplify right side
    21,576x = 414,094,445.11
  5. Step 5: Solve for x
    x = 414,094,445.11/21,576
  6. Step 6: Final answer
    x = 19,192.36

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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.