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Finding the Fourth Proportional to 14,096.88, 19,453.64 and 7,809.26

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Solution

The fourth proportional to 14,096.88, 19,453.64 and 7,809.26 is: 10,776.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,096.88 : 19,453.64 = 7,809.26 : x
  2. Step 2: Convert to fraction form
    14,096.88/19,453.64 = 7,809.26/x
  3. Step 3: Cross multiply
    14,096.88x = 19,453.64 × 7,809.26
  4. Step 4: Simplify right side
    14,096.88x = 151,918,396.39
  5. Step 5: Solve for x
    x = 151,918,396.39/14,096.88
  6. Step 6: Final answer
    x = 10,776.74

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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.