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Finding the Fourth Proportional to 14,143.50, 19,518.84 and 7,857.90

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Solution

The fourth proportional to 14,143.50, 19,518.84 and 7,857.90 is: 10,844.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,143.50 : 19,518.84 = 7,857.90 : x
  2. Step 2: Convert to fraction form
    14,143.50/19,518.84 = 7,857.90/x
  3. Step 3: Cross multiply
    14,143.50x = 19,518.84 × 7,857.90
  4. Step 4: Simplify right side
    14,143.50x = 153,377,092.84
  5. Step 5: Solve for x
    x = 153,377,092.84/14,143.50
  6. Step 6: Final answer
    x = 10,844.35

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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.