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Finding the Fourth Proportional to 23,721.64, 32,738.52 and 14,290

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Solution

The fourth proportional to 23,721.64, 32,738.52 and 14,290 is: 19,721.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,721.64 : 32,738.52 = 14,290 : x
  2. Step 2: Convert to fraction form
    23,721.64/32,738.52 = 14,290/x
  3. Step 3: Cross multiply
    23,721.64x = 32,738.52 × 14,290
  4. Step 4: Simplify right side
    23,721.64x = 467,833,450.80
  5. Step 5: Solve for x
    x = 467,833,450.80/23,721.64
  6. Step 6: Final answer
    x = 19,721.80

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