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Finding the Fourth Proportional to 14,175.87, 19,561.43 and 8,207.94

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Solution

The fourth proportional to 14,175.87, 19,561.43 and 8,207.94 is: 11,326.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,175.87 : 19,561.43 = 8,207.94 : x
  2. Step 2: Convert to fraction form
    14,175.87/19,561.43 = 8,207.94/x
  3. Step 3: Cross multiply
    14,175.87x = 19,561.43 × 8,207.94
  4. Step 4: Simplify right side
    14,175.87x = 160,559,137.63
  5. Step 5: Solve for x
    x = 160,559,137.63/14,175.87
  6. Step 6: Final answer
    x = 11,326.23

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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.