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Finding the Fourth Proportional to 21,096.72, 31,634.46 and 7,051.86

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Solution

The fourth proportional to 21,096.72, 31,634.46 and 7,051.86 is: 10,574.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,096.72 : 31,634.46 = 7,051.86 : x
  2. Step 2: Convert to fraction form
    21,096.72/31,634.46 = 7,051.86/x
  3. Step 3: Cross multiply
    21,096.72x = 31,634.46 × 7,051.86
  4. Step 4: Simplify right side
    21,096.72x = 223,081,783.10
  5. Step 5: Solve for x
    x = 223,081,783.10/21,096.72
  6. Step 6: Final answer
    x = 10,574.24

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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.