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Finding the Fourth Proportional to 14,069.70, 19,416.64 and 7,696.64

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Solution

The fourth proportional to 14,069.70, 19,416.64 and 7,696.64 is: 10,621.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,069.70 : 19,416.64 = 7,696.64 : x
  2. Step 2: Convert to fraction form
    14,069.70/19,416.64 = 7,696.64/x
  3. Step 3: Cross multiply
    14,069.70x = 19,416.64 × 7,696.64
  4. Step 4: Simplify right side
    14,069.70x = 149,442,888.09
  5. Step 5: Solve for x
    x = 149,442,888.09/14,069.70
  6. Step 6: Final answer
    x = 10,621.61

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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.