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Finding the Fourth Proportional to 23,713.84, 35,558.88 and 13,856.68

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Solution

The fourth proportional to 23,713.84, 35,558.88 and 13,856.68 is: 20,778.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,713.84 : 35,558.88 = 13,856.68 : x
  2. Step 2: Convert to fraction form
    23,713.84/35,558.88 = 13,856.68/x
  3. Step 3: Cross multiply
    23,713.84x = 35,558.88 × 13,856.68
  4. Step 4: Simplify right side
    23,713.84x = 492,728,021.32
  5. Step 5: Solve for x
    x = 492,728,021.32/23,713.84
  6. Step 6: Final answer
    x = 20,778.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.