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Finding the Fourth Proportional to 14,567.94, 20,097.89 and 8,431.61

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Solution

The fourth proportional to 14,567.94, 20,097.89 and 8,431.61 is: 11,632.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,567.94 : 20,097.89 = 8,431.61 : x
  2. Step 2: Convert to fraction form
    14,567.94/20,097.89 = 8,431.61/x
  3. Step 3: Cross multiply
    14,567.94x = 20,097.89 × 8,431.61
  4. Step 4: Simplify right side
    14,567.94x = 169,457,427.66
  5. Step 5: Solve for x
    x = 169,457,427.66/14,567.94
  6. Step 6: Final answer
    x = 11,632.22

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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.