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Finding the Fourth Proportional to 16,241.76, 24,362.64 and 3,929.76

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Solution

The fourth proportional to 16,241.76, 24,362.64 and 3,929.76 is: 5,894.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,241.76 : 24,362.64 = 3,929.76 : x
  2. Step 2: Convert to fraction form
    16,241.76/24,362.64 = 3,929.76/x
  3. Step 3: Cross multiply
    16,241.76x = 24,362.64 × 3,929.76
  4. Step 4: Simplify right side
    16,241.76x = 95,739,328.17
  5. Step 5: Solve for x
    x = 95,739,328.17/16,241.76
  6. Step 6: Final answer
    x = 5,894.64

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1.5x scale

Why These Related Problems?

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