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Finding the Fourth Proportional to 16,353.28, 24,529.50 and 9,735.28

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Solution

The fourth proportional to 16,353.28, 24,529.50 and 9,735.28 is: 14,602.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,353.28 : 24,529.50 = 9,735.28 : x
  2. Step 2: Convert to fraction form
    16,353.28/24,529.50 = 9,735.28/x
  3. Step 3: Cross multiply
    16,353.28x = 24,529.50 × 9,735.28
  4. Step 4: Simplify right side
    16,353.28x = 238,801,550.76
  5. Step 5: Solve for x
    x = 238,801,550.76/16,353.28
  6. Step 6: Final answer
    x = 14,602.67

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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.