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Finding the Fourth Proportional to 23,893.96, 32,976.74 and 14,462.68

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Solution

The fourth proportional to 23,893.96, 32,976.74 and 14,462.68 is: 19,960.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,893.96 : 32,976.74 = 14,462.68 : x
  2. Step 2: Convert to fraction form
    23,893.96/32,976.74 = 14,462.68/x
  3. Step 3: Cross multiply
    23,893.96x = 32,976.74 × 14,462.68
  4. Step 4: Simplify right side
    23,893.96x = 476,932,038.06
  5. Step 5: Solve for x
    x = 476,932,038.06/23,893.96
  6. Step 6: Final answer
    x = 19,960.36

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1.5x scale

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.