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Finding the Fourth Proportional to 14,356.76, 19,814.18 and 8,069.13

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Solution

The fourth proportional to 14,356.76, 19,814.18 and 8,069.13 is: 11,136.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,356.76 : 19,814.18 = 8,069.13 : x
  2. Step 2: Convert to fraction form
    14,356.76/19,814.18 = 8,069.13/x
  3. Step 3: Cross multiply
    14,356.76x = 19,814.18 × 8,069.13
  4. Step 4: Simplify right side
    14,356.76x = 159,883,153.92
  5. Step 5: Solve for x
    x = 159,883,153.92/14,356.76
  6. Step 6: Final answer
    x = 11,136.44

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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.