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Finding the Fourth Proportional to 16,497.43, 24,742.37 and 9,835.81

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Solution

The fourth proportional to 16,497.43, 24,742.37 and 9,835.81 is: 14,751.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,497.43 : 24,742.37 = 9,835.81 : x
  2. Step 2: Convert to fraction form
    16,497.43/24,742.37 = 9,835.81/x
  3. Step 3: Cross multiply
    16,497.43x = 24,742.37 × 9,835.81
  4. Step 4: Simplify right side
    16,497.43x = 243,361,213.00
  5. Step 5: Solve for x
    x = 243,361,213.00/16,497.43
  6. Step 6: Final answer
    x = 14,751.46

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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.