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Finding the Fourth Proportional to 23,063.84, 31,817.04 and 15,102.56

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Solution

The fourth proportional to 23,063.84, 31,817.04 and 15,102.56 is: 20,834.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,063.84 : 31,817.04 = 15,102.56 : x
  2. Step 2: Convert to fraction form
    23,063.84/31,817.04 = 15,102.56/x
  3. Step 3: Cross multiply
    23,063.84x = 31,817.04 × 15,102.56
  4. Step 4: Simplify right side
    23,063.84x = 480,518,755.62
  5. Step 5: Solve for x
    x = 480,518,755.62/23,063.84
  6. Step 6: Final answer
    x = 20,834.29

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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.