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Finding the Fourth Proportional to 14,409.36, 19,885.10 and 8,122.14

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Solution

The fourth proportional to 14,409.36, 19,885.10 and 8,122.14 is: 11,208.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,409.36 : 19,885.10 = 8,122.14 : x
  2. Step 2: Convert to fraction form
    14,409.36/19,885.10 = 8,122.14/x
  3. Step 3: Cross multiply
    14,409.36x = 19,885.10 × 8,122.14
  4. Step 4: Simplify right side
    14,409.36x = 161,509,525.50
  5. Step 5: Solve for x
    x = 161,509,525.50/14,409.36
  6. Step 6: Final answer
    x = 11,208.65

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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.