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Finding the Fourth Proportional to 13,849.84, 20,747.02 and 6,444.01

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Solution

The fourth proportional to 13,849.84, 20,747.02 and 6,444.01 is: 9,653.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,849.84 : 20,747.02 = 6,444.01 : x
  2. Step 2: Convert to fraction form
    13,849.84/20,747.02 = 6,444.01/x
  3. Step 3: Cross multiply
    13,849.84x = 20,747.02 × 6,444.01
  4. Step 4: Simplify right side
    13,849.84x = 133,694,004.35
  5. Step 5: Solve for x
    x = 133,694,004.35/13,849.84
  6. Step 6: Final answer
    x = 9,653.11

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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.