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Finding the Fourth Proportional to 12,950.10, 19,416.78 and 7,105.14

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Solution

The fourth proportional to 12,950.10, 19,416.78 and 7,105.14 is: 10,653.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,950.10 : 19,416.78 = 7,105.14 : x
  2. Step 2: Convert to fraction form
    12,950.10/19,416.78 = 7,105.14/x
  3. Step 3: Cross multiply
    12,950.10x = 19,416.78 × 7,105.14
  4. Step 4: Simplify right side
    12,950.10x = 137,958,940.25
  5. Step 5: Solve for x
    x = 137,958,940.25/12,950.10
  6. Step 6: Final answer
    x = 10,653.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.