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Finding the Fourth Proportional to 14,042.68, 19,382.77 and 8,734.34

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Solution

The fourth proportional to 14,042.68, 19,382.77 and 8,734.34 is: 12,055.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,042.68 : 19,382.77 = 8,734.34 : x
  2. Step 2: Convert to fraction form
    14,042.68/19,382.77 = 8,734.34/x
  3. Step 3: Cross multiply
    14,042.68x = 19,382.77 × 8,734.34
  4. Step 4: Simplify right side
    14,042.68x = 169,295,703.32
  5. Step 5: Solve for x
    x = 169,295,703.32/14,042.68
  6. Step 6: Final answer
    x = 12,055.80

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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.