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Finding the Fourth Proportional to 23,486.25, 32,411.14 and 12,731.14

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Solution

The fourth proportional to 23,486.25, 32,411.14 and 12,731.14 is: 17,569.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,486.25 : 32,411.14 = 12,731.14 : x
  2. Step 2: Convert to fraction form
    23,486.25/32,411.14 = 12,731.14/x
  3. Step 3: Cross multiply
    23,486.25x = 32,411.14 × 12,731.14
  4. Step 4: Simplify right side
    23,486.25x = 412,630,769.59
  5. Step 5: Solve for x
    x = 412,630,769.59/23,486.25
  6. Step 6: Final answer
    x = 17,569.03

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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.