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Finding the Fourth Proportional to 23,965, 33,071.70 and 14,029

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Solution

The fourth proportional to 23,965, 33,071.70 and 14,029 is: 19,360.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,965 : 33,071.70 = 14,029 : x
  2. Step 2: Convert to fraction form
    23,965/33,071.70 = 14,029/x
  3. Step 3: Cross multiply
    23,965x = 33,071.70 × 14,029
  4. Step 4: Simplify right side
    23,965x = 463,962,879.30
  5. Step 5: Solve for x
    x = 463,962,879.30/23,965
  6. Step 6: Final answer
    x = 19,360.02

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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.