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Finding the Fourth Proportional to 23,622.34, 32,596.10 and 13,548

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Solution

The fourth proportional to 23,622.34, 32,596.10 and 13,548 is: 18,694.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,622.34 : 32,596.10 = 13,548 : x
  2. Step 2: Convert to fraction form
    23,622.34/32,596.10 = 13,548/x
  3. Step 3: Cross multiply
    23,622.34x = 32,596.10 × 13,548
  4. Step 4: Simplify right side
    23,622.34x = 441,611,962.80
  5. Step 5: Solve for x
    x = 441,611,962.80/23,622.34
  6. Step 6: Final answer
    x = 18,694.67

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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.