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Finding the Fourth Proportional to 14,935.84, 20,611.20 and 8,221.60

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Solution

The fourth proportional to 14,935.84, 20,611.20 and 8,221.60 is: 11,345.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,935.84 : 20,611.20 = 8,221.60 : x
  2. Step 2: Convert to fraction form
    14,935.84/20,611.20 = 8,221.60/x
  3. Step 3: Cross multiply
    14,935.84x = 20,611.20 × 8,221.60
  4. Step 4: Simplify right side
    14,935.84x = 169,457,041.92
  5. Step 5: Solve for x
    x = 169,457,041.92/14,935.84
  6. Step 6: Final answer
    x = 11,345.67

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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.