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Finding the Fourth Proportional to 14,078.25, 19,428.35 and 8,489.61

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Solution

The fourth proportional to 14,078.25, 19,428.35 and 8,489.61 is: 11,715.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,078.25 : 19,428.35 = 8,489.61 : x
  2. Step 2: Convert to fraction form
    14,078.25/19,428.35 = 8,489.61/x
  3. Step 3: Cross multiply
    14,078.25x = 19,428.35 × 8,489.61
  4. Step 4: Simplify right side
    14,078.25x = 164,939,072.00
  5. Step 5: Solve for x
    x = 164,939,072.00/14,078.25
  6. Step 6: Final answer
    x = 11,715.88

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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.