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Finding the Fourth Proportional to 21,846.57, 32,747.13 and 14,827.16

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Solution

The fourth proportional to 21,846.57, 32,747.13 and 14,827.16 is: 22,225.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,846.57 : 32,747.13 = 14,827.16 : x
  2. Step 2: Convert to fraction form
    21,846.57/32,747.13 = 14,827.16/x
  3. Step 3: Cross multiply
    21,846.57x = 32,747.13 × 14,827.16
  4. Step 4: Simplify right side
    21,846.57x = 485,546,772.32
  5. Step 5: Solve for x
    x = 485,546,772.32/21,846.57
  6. Step 6: Final answer
    x = 22,225.31

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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.