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Finding the Fourth Proportional to 13,266.14, 19,894.74 and 6,688.12

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Solution

The fourth proportional to 13,266.14, 19,894.74 and 6,688.12 is: 10,029.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,266.14 : 19,894.74 = 6,688.12 : x
  2. Step 2: Convert to fraction form
    13,266.14/19,894.74 = 6,688.12/x
  3. Step 3: Cross multiply
    13,266.14x = 19,894.74 × 6,688.12
  4. Step 4: Simplify right side
    13,266.14x = 133,058,408.49
  5. Step 5: Solve for x
    x = 133,058,408.49/13,266.14
  6. Step 6: Final answer
    x = 10,029.93

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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.