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Finding the Fourth Proportional to 14,096.35, 19,453.17 and 7,808.77

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Solution

The fourth proportional to 14,096.35, 19,453.17 and 7,808.77 is: 10,776.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,096.35 : 19,453.17 = 7,808.77 : x
  2. Step 2: Convert to fraction form
    14,096.35/19,453.17 = 7,808.77/x
  3. Step 3: Cross multiply
    14,096.35x = 19,453.17 × 7,808.77
  4. Step 4: Simplify right side
    14,096.35x = 151,905,330.30
  5. Step 5: Solve for x
    x = 151,905,330.30/14,096.35
  6. Step 6: Final answer
    x = 10,776.22

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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.