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Finding the Fourth Proportional to 14,428.50, 19,912.86 and 8,465.19

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Solution

The fourth proportional to 14,428.50, 19,912.86 and 8,465.19 is: 11,682.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,428.50 : 19,912.86 = 8,465.19 : x
  2. Step 2: Convert to fraction form
    14,428.50/19,912.86 = 8,465.19/x
  3. Step 3: Cross multiply
    14,428.50x = 19,912.86 × 8,465.19
  4. Step 4: Simplify right side
    14,428.50x = 168,566,143.34
  5. Step 5: Solve for x
    x = 168,566,143.34/14,428.50
  6. Step 6: Final answer
    x = 11,682.86

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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.