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Finding the Fourth Proportional to 23,461.61, 32,377.80 and 12,851.82

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Solution

The fourth proportional to 23,461.61, 32,377.80 and 12,851.82 is: 17,735.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,461.61 : 32,377.80 = 12,851.82 : x
  2. Step 2: Convert to fraction form
    23,461.61/32,377.80 = 12,851.82/x
  3. Step 3: Cross multiply
    23,461.61x = 32,377.80 × 12,851.82
  4. Step 4: Simplify right side
    23,461.61x = 416,113,657.60
  5. Step 5: Solve for x
    x = 416,113,657.60/23,461.61
  6. Step 6: Final answer
    x = 17,735.94

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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.