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Finding the Fourth Proportional to 12,828.44, 17,704.70 and 7,239

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Solution

The fourth proportional to 12,828.44, 17,704.70 and 7,239 is: 9,990.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,828.44 : 17,704.70 = 7,239 : x
  2. Step 2: Convert to fraction form
    12,828.44/17,704.70 = 7,239/x
  3. Step 3: Cross multiply
    12,828.44x = 17,704.70 × 7,239
  4. Step 4: Simplify right side
    12,828.44x = 128,164,323.30
  5. Step 5: Solve for x
    x = 128,164,323.30/12,828.44
  6. Step 6: Final answer
    x = 9,990.64

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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.