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Finding the Fourth Proportional to 16,440.48, 24,667.20 and 7,200

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Solution

The fourth proportional to 16,440.48, 24,667.20 and 7,200 is: 10,802.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,440.48 : 24,667.20 = 7,200 : x
  2. Step 2: Convert to fraction form
    16,440.48/24,667.20 = 7,200/x
  3. Step 3: Cross multiply
    16,440.48x = 24,667.20 × 7,200
  4. Step 4: Simplify right side
    16,440.48x = 177,603,840
  5. Step 5: Solve for x
    x = 177,603,840/16,440.48
  6. Step 6: Final answer
    x = 10,802.84

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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.