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Finding the Fourth Proportional to 19,381.34, 29,072.55 and 5,341.56

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Solution

The fourth proportional to 19,381.34, 29,072.55 and 5,341.56 is: 8,012.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,381.34 : 29,072.55 = 5,341.56 : x
  2. Step 2: Convert to fraction form
    19,381.34/29,072.55 = 5,341.56/x
  3. Step 3: Cross multiply
    19,381.34x = 29,072.55 × 5,341.56
  4. Step 4: Simplify right side
    19,381.34x = 155,292,770.18
  5. Step 5: Solve for x
    x = 155,292,770.18/19,381.34
  6. Step 6: Final answer
    x = 8,012.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.