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Finding the Fourth Proportional to 14,358.30, 19,812.32 and 8,069.46

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Solution

The fourth proportional to 14,358.30, 19,812.32 and 8,069.46 is: 11,134.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,358.30 : 19,812.32 = 8,069.46 : x
  2. Step 2: Convert to fraction form
    14,358.30/19,812.32 = 8,069.46/x
  3. Step 3: Cross multiply
    14,358.30x = 19,812.32 × 8,069.46
  4. Step 4: Simplify right side
    14,358.30x = 159,874,723.75
  5. Step 5: Solve for x
    x = 159,874,723.75/14,358.30
  6. Step 6: Final answer
    x = 11,134.66

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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.