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Finding the Fourth Proportional to 14,230.52, 19,637.89 and 7,857.77

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Solution

The fourth proportional to 14,230.52, 19,637.89 and 7,857.77 is: 10,843.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,230.52 : 19,637.89 = 7,857.77 : x
  2. Step 2: Convert to fraction form
    14,230.52/19,637.89 = 7,857.77/x
  3. Step 3: Cross multiply
    14,230.52x = 19,637.89 × 7,857.77
  4. Step 4: Simplify right side
    14,230.52x = 154,310,087.35
  5. Step 5: Solve for x
    x = 154,310,087.35/14,230.52
  6. Step 6: Final answer
    x = 10,843.60

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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.