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Finding the Fourth Proportional to 14,341.68, 19,791.96 and 8,677.47

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Solution

The fourth proportional to 14,341.68, 19,791.96 and 8,677.47 is: 11,975.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,341.68 : 19,791.96 = 8,677.47 : x
  2. Step 2: Convert to fraction form
    14,341.68/19,791.96 = 8,677.47/x
  3. Step 3: Cross multiply
    14,341.68x = 19,791.96 × 8,677.47
  4. Step 4: Simplify right side
    14,341.68x = 171,744,032.38
  5. Step 5: Solve for x
    x = 171,744,032.38/14,341.68
  6. Step 6: Final answer
    x = 11,975.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.