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Finding the Fourth Proportional to 21,441.30, 29,589 and 12,009.84

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Solution

The fourth proportional to 21,441.30, 29,589 and 12,009.84 is: 16,573.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,441.30 : 29,589 = 12,009.84 : x
  2. Step 2: Convert to fraction form
    21,441.30/29,589 = 12,009.84/x
  3. Step 3: Cross multiply
    21,441.30x = 29,589 × 12,009.84
  4. Step 4: Simplify right side
    21,441.30x = 355,359,155.76
  5. Step 5: Solve for x
    x = 355,359,155.76/21,441.30
  6. Step 6: Final answer
    x = 16,573.58

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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.