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Finding the Fourth Proportional to 16,426.31, 24,639.66 and 4,739.63

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Solution

The fourth proportional to 16,426.31, 24,639.66 and 4,739.63 is: 7,109.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,426.31 : 24,639.66 = 4,739.63 : x
  2. Step 2: Convert to fraction form
    16,426.31/24,639.66 = 4,739.63/x
  3. Step 3: Cross multiply
    16,426.31x = 24,639.66 × 4,739.63
  4. Step 4: Simplify right side
    16,426.31x = 116,782,748.53
  5. Step 5: Solve for x
    x = 116,782,748.53/16,426.31
  6. Step 6: Final answer
    x = 7,109.50

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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.