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Finding the Fourth Proportional to 23,706.84, 32,712.56 and 13,096.55

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Solution

The fourth proportional to 23,706.84, 32,712.56 and 13,096.55 is: 18,071.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,706.84 : 32,712.56 = 13,096.55 : x
  2. Step 2: Convert to fraction form
    23,706.84/32,712.56 = 13,096.55/x
  3. Step 3: Cross multiply
    23,706.84x = 32,712.56 × 13,096.55
  4. Step 4: Simplify right side
    23,706.84x = 428,421,743.08
  5. Step 5: Solve for x
    x = 428,421,743.08/23,706.84
  6. Step 6: Final answer
    x = 18,071.65

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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.