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Finding the Fourth Proportional to 23,802, 32,833.08 and 14,845.20

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Solution

The fourth proportional to 23,802, 32,833.08 and 14,845.20 is: 20,477.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,802 : 32,833.08 = 14,845.20 : x
  2. Step 2: Convert to fraction form
    23,802/32,833.08 = 14,845.20/x
  3. Step 3: Cross multiply
    23,802x = 32,833.08 × 14,845.20
  4. Step 4: Simplify right side
    23,802x = 487,413,639.22
  5. Step 5: Solve for x
    x = 487,413,639.22/23,802
  6. Step 6: Final answer
    x = 20,477.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.