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Finding the Fourth Proportional to 23,462, 32,377.16 and 12,851.60

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Solution

The fourth proportional to 23,462, 32,377.16 and 12,851.60 is: 17,734.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,462 : 32,377.16 = 12,851.60 : x
  2. Step 2: Convert to fraction form
    23,462/32,377.16 = 12,851.60/x
  3. Step 3: Cross multiply
    23,462x = 32,377.16 × 12,851.60
  4. Step 4: Simplify right side
    23,462x = 416,098,309.46
  5. Step 5: Solve for x
    x = 416,098,309.46/23,462
  6. Step 6: Final answer
    x = 17,734.99

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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.