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Finding the Fourth Proportional to 28,064, 42,096.32 and 9,597.44

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Solution

The fourth proportional to 28,064, 42,096.32 and 9,597.44 is: 14,396.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,064 : 42,096.32 = 9,597.44 : x
  2. Step 2: Convert to fraction form
    28,064/42,096.32 = 9,597.44/x
  3. Step 3: Cross multiply
    28,064x = 42,096.32 × 9,597.44
  4. Step 4: Simplify right side
    28,064x = 404,016,905.42
  5. Step 5: Solve for x
    x = 404,016,905.42/28,064
  6. Step 6: Final answer
    x = 14,396.27

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Why These Related Problems?

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