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Finding the Fourth Proportional to 17,727.80, 26,585.40 and 7,849.40

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Solution

The fourth proportional to 17,727.80, 26,585.40 and 7,849.40 is: 11,771.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,727.80 : 26,585.40 = 7,849.40 : x
  2. Step 2: Convert to fraction form
    17,727.80/26,585.40 = 7,849.40/x
  3. Step 3: Cross multiply
    17,727.80x = 26,585.40 × 7,849.40
  4. Step 4: Simplify right side
    17,727.80x = 208,679,438.76
  5. Step 5: Solve for x
    x = 208,679,438.76/17,727.80
  6. Step 6: Final answer
    x = 11,771.31

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