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Finding the Fourth Proportional to 23,706.62, 32,721.65 and 14,748.78

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Solution

The fourth proportional to 23,706.62, 32,721.65 and 14,748.78 is: 20,357.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,706.62 : 32,721.65 = 14,748.78 : x
  2. Step 2: Convert to fraction form
    23,706.62/32,721.65 = 14,748.78/x
  3. Step 3: Cross multiply
    23,706.62x = 32,721.65 × 14,748.78
  4. Step 4: Simplify right side
    23,706.62x = 482,604,417.09
  5. Step 5: Solve for x
    x = 482,604,417.09/23,706.62
  6. Step 6: Final answer
    x = 20,357.37

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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.