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Finding the Fourth Proportional to 21,134.84, 31,700.37 and 6,347.06

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Solution

The fourth proportional to 21,134.84, 31,700.37 and 6,347.06 is: 9,520.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,134.84 : 31,700.37 = 6,347.06 : x
  2. Step 2: Convert to fraction form
    21,134.84/31,700.37 = 6,347.06/x
  3. Step 3: Cross multiply
    21,134.84x = 31,700.37 × 6,347.06
  4. Step 4: Simplify right side
    21,134.84x = 201,204,150.41
  5. Step 5: Solve for x
    x = 201,204,150.41/21,134.84
  6. Step 6: Final answer
    x = 9,520.02

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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.