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Finding the Fourth Proportional to 21,425.84, 32,135.58 and 8,276.57

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Solution

The fourth proportional to 21,425.84, 32,135.58 and 8,276.57 is: 12,413.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,425.84 : 32,135.58 = 8,276.57 : x
  2. Step 2: Convert to fraction form
    21,425.84/32,135.58 = 8,276.57/x
  3. Step 3: Cross multiply
    21,425.84x = 32,135.58 × 8,276.57
  4. Step 4: Simplify right side
    21,425.84x = 265,972,216.68
  5. Step 5: Solve for x
    x = 265,972,216.68/21,425.84
  6. Step 6: Final answer
    x = 12,413.62

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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.