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Finding the Fourth Proportional to 14,234.82, 19,643.85 and 7,861.46

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Solution

The fourth proportional to 14,234.82, 19,643.85 and 7,861.46 is: 10,848.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,234.82 : 19,643.85 = 7,861.46 : x
  2. Step 2: Convert to fraction form
    14,234.82/19,643.85 = 7,861.46/x
  3. Step 3: Cross multiply
    14,234.82x = 19,643.85 × 7,861.46
  4. Step 4: Simplify right side
    14,234.82x = 154,429,341.02
  5. Step 5: Solve for x
    x = 154,429,341.02/14,234.82
  6. Step 6: Final answer
    x = 10,848.70

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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.