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Finding the Fourth Proportional to 14,105.39, 19,457.70 and 8,991.41

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Solution

The fourth proportional to 14,105.39, 19,457.70 and 8,991.41 is: 12,403.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,105.39 : 19,457.70 = 8,991.41 : x
  2. Step 2: Convert to fraction form
    14,105.39/19,457.70 = 8,991.41/x
  3. Step 3: Cross multiply
    14,105.39x = 19,457.70 × 8,991.41
  4. Step 4: Simplify right side
    14,105.39x = 174,952,061.07
  5. Step 5: Solve for x
    x = 174,952,061.07/14,105.39
  6. Step 6: Final answer
    x = 12,403.21

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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.