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Finding the Fourth Proportional to 21,440.64, 29,588.04 and 12,009

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Solution

The fourth proportional to 21,440.64, 29,588.04 and 12,009 is: 16,572.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,440.64 : 29,588.04 = 12,009 : x
  2. Step 2: Convert to fraction form
    21,440.64/29,588.04 = 12,009/x
  3. Step 3: Cross multiply
    21,440.64x = 29,588.04 × 12,009
  4. Step 4: Simplify right side
    21,440.64x = 355,322,772.36
  5. Step 5: Solve for x
    x = 355,322,772.36/21,440.64
  6. Step 6: Final answer
    x = 16,572.40

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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.