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Finding the Fourth Proportional to 21,416.34, 32,124.50 and 8,942.24

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Solution

The fourth proportional to 21,416.34, 32,124.50 and 8,942.24 is: 13,413.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,416.34 : 32,124.50 = 8,942.24 : x
  2. Step 2: Convert to fraction form
    21,416.34/32,124.50 = 8,942.24/x
  3. Step 3: Cross multiply
    21,416.34x = 32,124.50 × 8,942.24
  4. Step 4: Simplify right side
    21,416.34x = 287,264,988.88
  5. Step 5: Solve for x
    x = 287,264,988.88/21,416.34
  6. Step 6: Final answer
    x = 13,413.36

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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.