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Finding the Fourth Proportional to 14,145.19, 19,520.98 and 7,857.56

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Solution

The fourth proportional to 14,145.19, 19,520.98 and 7,857.56 is: 10,843.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,145.19 : 19,520.98 = 7,857.56 : x
  2. Step 2: Convert to fraction form
    14,145.19/19,520.98 = 7,857.56/x
  3. Step 3: Cross multiply
    14,145.19x = 19,520.98 × 7,857.56
  4. Step 4: Simplify right side
    14,145.19x = 153,387,300.77
  5. Step 5: Solve for x
    x = 153,387,300.77/14,145.19
  6. Step 6: Final answer
    x = 10,843.78

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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.