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Finding the Fourth Proportional to 16,349.96, 24,503.36 and 6,483.84

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Solution

The fourth proportional to 16,349.96, 24,503.36 and 6,483.84 is: 9,717.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,349.96 : 24,503.36 = 6,483.84 : x
  2. Step 2: Convert to fraction form
    16,349.96/24,503.36 = 6,483.84/x
  3. Step 3: Cross multiply
    16,349.96x = 24,503.36 × 6,483.84
  4. Step 4: Simplify right side
    16,349.96x = 158,875,865.70
  5. Step 5: Solve for x
    x = 158,875,865.70/16,349.96
  6. Step 6: Final answer
    x = 9,717.20

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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.