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Finding the Fourth Proportional to 21,985.76, 30,340.47 and 11,914.21

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Solution

The fourth proportional to 21,985.76, 30,340.47 and 11,914.21 is: 16,441.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,985.76 : 30,340.47 = 11,914.21 : x
  2. Step 2: Convert to fraction form
    21,985.76/30,340.47 = 11,914.21/x
  3. Step 3: Cross multiply
    21,985.76x = 30,340.47 × 11,914.21
  4. Step 4: Simplify right side
    21,985.76x = 361,482,813.68
  5. Step 5: Solve for x
    x = 361,482,813.68/21,985.76
  6. Step 6: Final answer
    x = 16,441.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.