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Finding the Fourth Proportional to 22,731.41, 31,383.36 and 14,672.16

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Solution

The fourth proportional to 22,731.41, 31,383.36 and 14,672.16 is: 20,256.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,731.41 : 31,383.36 = 14,672.16 : x
  2. Step 2: Convert to fraction form
    22,731.41/31,383.36 = 14,672.16/x
  3. Step 3: Cross multiply
    22,731.41x = 31,383.36 × 14,672.16
  4. Step 4: Simplify right side
    22,731.41x = 460,461,679.26
  5. Step 5: Solve for x
    x = 460,461,679.26/22,731.41
  6. Step 6: Final answer
    x = 20,256.62

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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.