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Finding the Fourth Proportional to 23,235.64, 32,065.12 and 12,625.31

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Solution

The fourth proportional to 23,235.64, 32,065.12 and 12,625.31 is: 17,422.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,235.64 : 32,065.12 = 12,625.31 : x
  2. Step 2: Convert to fraction form
    23,235.64/32,065.12 = 12,625.31/x
  3. Step 3: Cross multiply
    23,235.64x = 32,065.12 × 12,625.31
  4. Step 4: Simplify right side
    23,235.64x = 404,832,080.19
  5. Step 5: Solve for x
    x = 404,832,080.19/23,235.64
  6. Step 6: Final answer
    x = 17,422.89

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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.