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Finding the Fourth Proportional to 14,316.96, 19,755.24 and 8,184.23

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Solution

The fourth proportional to 14,316.96, 19,755.24 and 8,184.23 is: 11,292.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,316.96 : 19,755.24 = 8,184.23 : x
  2. Step 2: Convert to fraction form
    14,316.96/19,755.24 = 8,184.23/x
  3. Step 3: Cross multiply
    14,316.96x = 19,755.24 × 8,184.23
  4. Step 4: Simplify right side
    14,316.96x = 161,681,329.09
  5. Step 5: Solve for x
    x = 161,681,329.09/14,316.96
  6. Step 6: Final answer
    x = 11,292.99

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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.