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Finding the Fourth Proportional to 23,671.64, 32,662.31 and 14,240.81

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Solution

The fourth proportional to 23,671.64, 32,662.31 and 14,240.81 is: 19,649.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,671.64 : 32,662.31 = 14,240.81 : x
  2. Step 2: Convert to fraction form
    23,671.64/32,662.31 = 14,240.81/x
  3. Step 3: Cross multiply
    23,671.64x = 32,662.31 × 14,240.81
  4. Step 4: Simplify right side
    23,671.64x = 465,137,516.36
  5. Step 5: Solve for x
    x = 465,137,516.36/23,671.64
  6. Step 6: Final answer
    x = 19,649.57

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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.