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Finding the Fourth Proportional to 23,686.94, 32,689.50 and 13,076.58

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Solution

The fourth proportional to 23,686.94, 32,689.50 and 13,076.58 is: 18,046.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,686.94 : 32,689.50 = 13,076.58 : x
  2. Step 2: Convert to fraction form
    23,686.94/32,689.50 = 13,076.58/x
  3. Step 3: Cross multiply
    23,686.94x = 32,689.50 × 13,076.58
  4. Step 4: Simplify right side
    23,686.94x = 427,466,861.91
  5. Step 5: Solve for x
    x = 427,466,861.91/23,686.94
  6. Step 6: Final answer
    x = 18,046.52

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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.