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Finding the Fourth Proportional to 21,106.16, 31,660.74 and 6,313.88

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Solution

The fourth proportional to 21,106.16, 31,660.74 and 6,313.88 is: 9,471.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,106.16 : 31,660.74 = 6,313.88 : x
  2. Step 2: Convert to fraction form
    21,106.16/31,660.74 = 6,313.88/x
  3. Step 3: Cross multiply
    21,106.16x = 31,660.74 × 6,313.88
  4. Step 4: Simplify right side
    21,106.16x = 199,902,113.07
  5. Step 5: Solve for x
    x = 199,902,113.07/21,106.16
  6. Step 6: Final answer
    x = 9,471.27

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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.