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Finding the Fourth Proportional to 14,233.94, 19,643.50 and 7,861.43

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Solution

The fourth proportional to 14,233.94, 19,643.50 and 7,861.43 is: 10,849.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,233.94 : 19,643.50 = 7,861.43 : x
  2. Step 2: Convert to fraction form
    14,233.94/19,643.50 = 7,861.43/x
  3. Step 3: Cross multiply
    14,233.94x = 19,643.50 × 7,861.43
  4. Step 4: Simplify right side
    14,233.94x = 154,426,000.21
  5. Step 5: Solve for x
    x = 154,426,000.21/14,233.94
  6. Step 6: Final answer
    x = 10,849.14

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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.