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Finding the Fourth Proportional to 14,070.20, 19,416.18 and 7,696.44

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Solution

The fourth proportional to 14,070.20, 19,416.18 and 7,696.44 is: 10,620.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,070.20 : 19,416.18 = 7,696.44 : x
  2. Step 2: Convert to fraction form
    14,070.20/19,416.18 = 7,696.44/x
  3. Step 3: Cross multiply
    14,070.20x = 19,416.18 × 7,696.44
  4. Step 4: Simplify right side
    14,070.20x = 149,435,464.40
  5. Step 5: Solve for x
    x = 149,435,464.40/14,070.20
  6. Step 6: Final answer
    x = 10,620.71

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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.