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Finding the Fourth Proportional to 21,440.75, 29,588.24 and 12,009.31

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Solution

The fourth proportional to 21,440.75, 29,588.24 and 12,009.31 is: 16,572.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,440.75 : 29,588.24 = 12,009.31 : x
  2. Step 2: Convert to fraction form
    21,440.75/29,588.24 = 12,009.31/x
  3. Step 3: Cross multiply
    21,440.75x = 29,588.24 × 12,009.31
  4. Step 4: Simplify right side
    21,440.75x = 355,334,346.51
  5. Step 5: Solve for x
    x = 355,334,346.51/21,440.75
  6. Step 6: Final answer
    x = 16,572.85

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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.