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Finding the Fourth Proportional to 14,142.12, 19,515.72 and 7,854.09

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Solution

The fourth proportional to 14,142.12, 19,515.72 and 7,854.09 is: 10,838.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,142.12 : 19,515.72 = 7,854.09 : x
  2. Step 2: Convert to fraction form
    14,142.12/19,515.72 = 7,854.09/x
  3. Step 3: Cross multiply
    14,142.12x = 19,515.72 × 7,854.09
  4. Step 4: Simplify right side
    14,142.12x = 153,278,221.29
  5. Step 5: Solve for x
    x = 153,278,221.29/14,142.12
  6. Step 6: Final answer
    x = 10,838.42

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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.