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Finding the Fourth Proportional to 14,069.75, 19,416.70 and 7,696.69

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Solution

The fourth proportional to 14,069.75, 19,416.70 and 7,696.69 is: 10,621.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,069.75 : 19,416.70 = 7,696.69 : x
  2. Step 2: Convert to fraction form
    14,069.75/19,416.70 = 7,696.69/x
  3. Step 3: Cross multiply
    14,069.75x = 19,416.70 × 7,696.69
  4. Step 4: Simplify right side
    14,069.75x = 149,444,282.24
  5. Step 5: Solve for x
    x = 149,444,282.24/14,069.75
  6. Step 6: Final answer
    x = 10,621.68

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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.