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Finding the Fourth Proportional to 23,461.59, 32,377.00 and 12,851.60

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Solution

The fourth proportional to 23,461.59, 32,377.00 and 12,851.60 is: 17,735.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,461.59 : 32,377.00 = 12,851.60 : x
  2. Step 2: Convert to fraction form
    23,461.59/32,377.00 = 12,851.60/x
  3. Step 3: Cross multiply
    23,461.59x = 32,377.00 × 12,851.60
  4. Step 4: Simplify right side
    23,461.59x = 416,096,188.94
  5. Step 5: Solve for x
    x = 416,096,188.94/23,461.59
  6. Step 6: Final answer
    x = 17,735.21

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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.