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Finding the Fourth Proportional to 21,207.66, 31,803.57 and 6,412.14

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Solution

The fourth proportional to 21,207.66, 31,803.57 and 6,412.14 is: 9,615.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,207.66 : 31,803.57 = 6,412.14 : x
  2. Step 2: Convert to fraction form
    21,207.66/31,803.57 = 6,412.14/x
  3. Step 3: Cross multiply
    21,207.66x = 31,803.57 × 6,412.14
  4. Step 4: Simplify right side
    21,207.66x = 203,928,943.34
  5. Step 5: Solve for x
    x = 203,928,943.34/21,207.66
  6. Step 6: Final answer
    x = 9,615.82

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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.