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Finding the Fourth Proportional to 13,446.94, 18,554.05 and 7,856.86

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Solution

The fourth proportional to 13,446.94, 18,554.05 and 7,856.86 is: 10,840.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,446.94 : 18,554.05 = 7,856.86 : x
  2. Step 2: Convert to fraction form
    13,446.94/18,554.05 = 7,856.86/x
  3. Step 3: Cross multiply
    13,446.94x = 18,554.05 × 7,856.86
  4. Step 4: Simplify right side
    13,446.94x = 145,776,573.28
  5. Step 5: Solve for x
    x = 145,776,573.28/13,446.94
  6. Step 6: Final answer
    x = 10,840.87

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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.