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Finding the Fourth Proportional to 23,796, 32,838.48 and 14,366.88

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Solution

The fourth proportional to 23,796, 32,838.48 and 14,366.88 is: 19,826.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,796 : 32,838.48 = 14,366.88 : x
  2. Step 2: Convert to fraction form
    23,796/32,838.48 = 14,366.88/x
  3. Step 3: Cross multiply
    23,796x = 32,838.48 × 14,366.88
  4. Step 4: Simplify right side
    23,796x = 471,786,501.54
  5. Step 5: Solve for x
    x = 471,786,501.54/23,796
  6. Step 6: Final answer
    x = 19,826.29

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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.