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Finding the Fourth Proportional to 21,680.42, 32,516.04 and 6,890.63

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Solution

The fourth proportional to 21,680.42, 32,516.04 and 6,890.63 is: 10,334.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,680.42 : 32,516.04 = 6,890.63 : x
  2. Step 2: Convert to fraction form
    21,680.42/32,516.04 = 6,890.63/x
  3. Step 3: Cross multiply
    21,680.42x = 32,516.04 × 6,890.63
  4. Step 4: Simplify right side
    21,680.42x = 224,056,000.71
  5. Step 5: Solve for x
    x = 224,056,000.71/21,680.42
  6. Step 6: Final answer
    x = 10,334.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.