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Finding the Fourth Proportional to 23,777.84, 32,815.86 and 13,706.72

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Solution

The fourth proportional to 23,777.84, 32,815.86 and 13,706.72 is: 18,916.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,777.84 : 32,815.86 = 13,706.72 : x
  2. Step 2: Convert to fraction form
    23,777.84/32,815.86 = 13,706.72/x
  3. Step 3: Cross multiply
    23,777.84x = 32,815.86 × 13,706.72
  4. Step 4: Simplify right side
    23,777.84x = 449,797,804.58
  5. Step 5: Solve for x
    x = 449,797,804.58/23,777.84
  6. Step 6: Final answer
    x = 18,916.68

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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.