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Finding the Fourth Proportional to 21,809.64, 32,671.63 and 14,391.46

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Solution

The fourth proportional to 21,809.64, 32,671.63 and 14,391.46 is: 21,558.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,809.64 : 32,671.63 = 14,391.46 : x
  2. Step 2: Convert to fraction form
    21,809.64/32,671.63 = 14,391.46/x
  3. Step 3: Cross multiply
    21,809.64x = 32,671.63 × 14,391.46
  4. Step 4: Simplify right side
    21,809.64x = 470,192,456.28
  5. Step 5: Solve for x
    x = 470,192,456.28/21,809.64
  6. Step 6: Final answer
    x = 21,558.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.