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Finding the Fourth Proportional to 21,441, 29,588.58 and 12,009.54

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Solution

The fourth proportional to 21,441, 29,588.58 and 12,009.54 is: 16,573.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,441 : 29,588.58 = 12,009.54 : x
  2. Step 2: Convert to fraction form
    21,441/29,588.58 = 12,009.54/x
  3. Step 3: Cross multiply
    21,441x = 29,588.58 × 12,009.54
  4. Step 4: Simplify right side
    21,441x = 355,345,235.05
  5. Step 5: Solve for x
    x = 355,345,235.05/21,441
  6. Step 6: Final answer
    x = 16,573.17

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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.