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Finding the Fourth Proportional to 14,356.17, 19,813.07 and 8,389.85

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Solution

The fourth proportional to 14,356.17, 19,813.07 and 8,389.85 is: 11,578.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,356.17 : 19,813.07 = 8,389.85 : x
  2. Step 2: Convert to fraction form
    14,356.17/19,813.07 = 8,389.85/x
  3. Step 3: Cross multiply
    14,356.17x = 19,813.07 × 8,389.85
  4. Step 4: Simplify right side
    14,356.17x = 166,228,607.25
  5. Step 5: Solve for x
    x = 166,228,607.25/14,356.17
  6. Step 6: Final answer
    x = 11,578.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.