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Finding the Fourth Proportional to 14,357.12, 19,812.81 and 8,069.49

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Solution

The fourth proportional to 14,357.12, 19,812.81 and 8,069.49 is: 11,135.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,357.12 : 19,812.81 = 8,069.49 : x
  2. Step 2: Convert to fraction form
    14,357.12/19,812.81 = 8,069.49/x
  3. Step 3: Cross multiply
    14,357.12x = 19,812.81 × 8,069.49
  4. Step 4: Simplify right side
    14,357.12x = 159,879,302.43
  5. Step 5: Solve for x
    x = 159,879,302.43/14,357.12
  6. Step 6: Final answer
    x = 11,135.89

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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.