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Finding the Fourth Proportional to 19,142.85, 26,418.56 and 10,646.49

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Solution

The fourth proportional to 19,142.85, 26,418.56 and 10,646.49 is: 14,692.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,142.85 : 26,418.56 = 10,646.49 : x
  2. Step 2: Convert to fraction form
    19,142.85/26,418.56 = 10,646.49/x
  3. Step 3: Cross multiply
    19,142.85x = 26,418.56 × 10,646.49
  4. Step 4: Simplify right side
    19,142.85x = 281,264,829.38
  5. Step 5: Solve for x
    x = 281,264,829.38/19,142.85
  6. Step 6: Final answer
    x = 14,692.95

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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.