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Finding the Fourth Proportional to 19,412.95, 26,757.61 and 13,740.42

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Solution

The fourth proportional to 19,412.95, 26,757.61 and 13,740.42 is: 18,938.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,412.95 : 26,757.61 = 13,740.42 : x
  2. Step 2: Convert to fraction form
    19,412.95/26,757.61 = 13,740.42/x
  3. Step 3: Cross multiply
    19,412.95x = 26,757.61 × 13,740.42
  4. Step 4: Simplify right side
    19,412.95x = 367,660,730.89
  5. Step 5: Solve for x
    x = 367,660,730.89/19,412.95
  6. Step 6: Final answer
    x = 18,938.94

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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.