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Finding the Fourth Proportional to 23,706.67, 32,721.72 and 14,748.83

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Solution

The fourth proportional to 23,706.67, 32,721.72 and 14,748.83 is: 20,357.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,706.67 : 32,721.72 = 14,748.83 : x
  2. Step 2: Convert to fraction form
    23,706.67/32,721.72 = 14,748.83/x
  3. Step 3: Cross multiply
    23,706.67x = 32,721.72 × 14,748.83
  4. Step 4: Simplify right side
    23,706.67x = 482,606,848.23
  5. Step 5: Solve for x
    x = 482,606,848.23/23,706.67
  6. Step 6: Final answer
    x = 20,357.43

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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.