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Finding the Fourth Proportional to 14,234.36, 19,643.06 and 7,861.48

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Solution

The fourth proportional to 14,234.36, 19,643.06 and 7,861.48 is: 10,848.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,234.36 : 19,643.06 = 7,861.48 : x
  2. Step 2: Convert to fraction form
    14,234.36/19,643.06 = 7,861.48/x
  3. Step 3: Cross multiply
    14,234.36x = 19,643.06 × 7,861.48
  4. Step 4: Simplify right side
    14,234.36x = 154,423,493.87
  5. Step 5: Solve for x
    x = 154,423,493.87/14,234.36
  6. Step 6: Final answer
    x = 10,848.65

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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.