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Finding the Fourth Proportional to 14,069.24, 19,416.00 and 7,696.19

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Solution

The fourth proportional to 14,069.24, 19,416.00 and 7,696.19 is: 10,620.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,069.24 : 19,416.00 = 7,696.19 : x
  2. Step 2: Convert to fraction form
    14,069.24/19,416.00 = 7,696.19/x
  3. Step 3: Cross multiply
    14,069.24x = 19,416.00 × 7,696.19
  4. Step 4: Simplify right side
    14,069.24x = 149,429,247.83
  5. Step 5: Solve for x
    x = 149,429,247.83/14,069.24
  6. Step 6: Final answer
    x = 10,620.99

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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.