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Finding the Fourth Proportional to 17,719.70, 26,564.46 and 7,853.60

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Solution

The fourth proportional to 17,719.70, 26,564.46 and 7,853.60 is: 11,773.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,719.70 : 26,564.46 = 7,853.60 : x
  2. Step 2: Convert to fraction form
    17,719.70/26,564.46 = 7,853.60/x
  3. Step 3: Cross multiply
    17,719.70x = 26,564.46 × 7,853.60
  4. Step 4: Simplify right side
    17,719.70x = 208,626,510.23
  5. Step 5: Solve for x
    x = 208,626,510.23/17,719.70
  6. Step 6: Final answer
    x = 11,773.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.