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Finding the Fourth Proportional to 17,771.14, 26,656.74 and 6,084.46

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Solution

The fourth proportional to 17,771.14, 26,656.74 and 6,084.46 is: 9,126.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,771.14 : 26,656.74 = 6,084.46 : x
  2. Step 2: Convert to fraction form
    17,771.14/26,656.74 = 6,084.46/x
  3. Step 3: Cross multiply
    17,771.14x = 26,656.74 × 6,084.46
  4. Step 4: Simplify right side
    17,771.14x = 162,191,868.26
  5. Step 5: Solve for x
    x = 162,191,868.26/17,771.14
  6. Step 6: Final answer
    x = 9,126.70

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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.