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Finding the Fourth Proportional to 12,828.44, 17,702.88 and 7,522.94

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Solution

The fourth proportional to 12,828.44, 17,702.88 and 7,522.94 is: 10,381.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,828.44 : 17,702.88 = 7,522.94 : x
  2. Step 2: Convert to fraction form
    12,828.44/17,702.88 = 7,522.94/x
  3. Step 3: Cross multiply
    12,828.44x = 17,702.88 × 7,522.94
  4. Step 4: Simplify right side
    12,828.44x = 133,177,704.07
  5. Step 5: Solve for x
    x = 133,177,704.07/12,828.44
  6. Step 6: Final answer
    x = 10,381.44

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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.