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Finding the Fourth Proportional to 16,326.42, 24,489.83 and 4,639.63

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Solution

The fourth proportional to 16,326.42, 24,489.83 and 4,639.63 is: 6,959.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,326.42 : 24,489.83 = 4,639.63 : x
  2. Step 2: Convert to fraction form
    16,326.42/24,489.83 = 4,639.63/x
  3. Step 3: Cross multiply
    16,326.42x = 24,489.83 × 4,639.63
  4. Step 4: Simplify right side
    16,326.42x = 113,623,749.96
  5. Step 5: Solve for x
    x = 113,623,749.96/16,326.42
  6. Step 6: Final answer
    x = 6,959.50

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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.