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Finding the Fourth Proportional to 23,281.97, 32,128.16 and 12,671.64

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Solution

The fourth proportional to 23,281.97, 32,128.16 and 12,671.64 is: 17,486.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,281.97 : 32,128.16 = 12,671.64 : x
  2. Step 2: Convert to fraction form
    23,281.97/32,128.16 = 12,671.64/x
  3. Step 3: Cross multiply
    23,281.97x = 32,128.16 × 12,671.64
  4. Step 4: Simplify right side
    23,281.97x = 407,116,414.02
  5. Step 5: Solve for x
    x = 407,116,414.02/23,281.97
  6. Step 6: Final answer
    x = 17,486.34

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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.