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Finding the Fourth Proportional to 14,022.86, 19,352.13 and 7,735.64

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Solution

The fourth proportional to 14,022.86, 19,352.13 and 7,735.64 is: 10,675.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,022.86 : 19,352.13 = 7,735.64 : x
  2. Step 2: Convert to fraction form
    14,022.86/19,352.13 = 7,735.64/x
  3. Step 3: Cross multiply
    14,022.86x = 19,352.13 × 7,735.64
  4. Step 4: Simplify right side
    14,022.86x = 149,701,110.91
  5. Step 5: Solve for x
    x = 149,701,110.91/14,022.86
  6. Step 6: Final answer
    x = 10,675.50

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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.