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Finding the Fourth Proportional to 23,468.40, 32,383.32 and 14,033.52

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Solution

The fourth proportional to 23,468.40, 32,383.32 and 14,033.52 is: 19,364.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,468.40 : 32,383.32 = 14,033.52 : x
  2. Step 2: Convert to fraction form
    23,468.40/32,383.32 = 14,033.52/x
  3. Step 3: Cross multiply
    23,468.40x = 32,383.32 × 14,033.52
  4. Step 4: Simplify right side
    23,468.40x = 454,451,968.89
  5. Step 5: Solve for x
    x = 454,451,968.89/23,468.40
  6. Step 6: Final answer
    x = 19,364.42

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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.