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Finding the Fourth Proportional to 21,438.07, 32,162.87 and 8,953.94

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Solution

The fourth proportional to 21,438.07, 32,162.87 and 8,953.94 is: 13,433.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,438.07 : 32,162.87 = 8,953.94 : x
  2. Step 2: Convert to fraction form
    21,438.07/32,162.87 = 8,953.94/x
  3. Step 3: Cross multiply
    21,438.07x = 32,162.87 × 8,953.94
  4. Step 4: Simplify right side
    21,438.07x = 287,984,511.00
  5. Step 5: Solve for x
    x = 287,984,511.00/21,438.07
  6. Step 6: Final answer
    x = 13,433.32

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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.