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Finding the Fourth Proportional to 21,168.38, 31,758.74 and 9,478.86

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Solution

The fourth proportional to 21,168.38, 31,758.74 and 9,478.86 is: 14,221.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,168.38 : 31,758.74 = 9,478.86 : x
  2. Step 2: Convert to fraction form
    21,168.38/31,758.74 = 9,478.86/x
  3. Step 3: Cross multiply
    21,168.38x = 31,758.74 × 9,478.86
  4. Step 4: Simplify right side
    21,168.38x = 301,036,650.24
  5. Step 5: Solve for x
    x = 301,036,650.24/21,168.38
  6. Step 6: Final answer
    x = 14,221.05

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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.