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Finding the Fourth Proportional to 21,352.32, 32,031.54 and 6,562.44

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Solution

The fourth proportional to 21,352.32, 32,031.54 and 6,562.44 is: 9,844.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,352.32 : 32,031.54 = 6,562.44 : x
  2. Step 2: Convert to fraction form
    21,352.32/32,031.54 = 6,562.44/x
  3. Step 3: Cross multiply
    21,352.32x = 32,031.54 × 6,562.44
  4. Step 4: Simplify right side
    21,352.32x = 210,205,059.36
  5. Step 5: Solve for x
    x = 210,205,059.36/21,352.32
  6. Step 6: Final answer
    x = 9,844.60

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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.