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Finding the Fourth Proportional to 14,290.42, 19,721.05 and 8,553.78

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Solution

The fourth proportional to 14,290.42, 19,721.05 and 8,553.78 is: 11,804.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,290.42 : 19,721.05 = 8,553.78 : x
  2. Step 2: Convert to fraction form
    14,290.42/19,721.05 = 8,553.78/x
  3. Step 3: Cross multiply
    14,290.42x = 19,721.05 × 8,553.78
  4. Step 4: Simplify right side
    14,290.42x = 168,689,523.07
  5. Step 5: Solve for x
    x = 168,689,523.07/14,290.42
  6. Step 6: Final answer
    x = 11,804.38

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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.