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Finding the Fourth Proportional to 17,782.38, 26,677.62 and 6,094.89

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Solution

The fourth proportional to 17,782.38, 26,677.62 and 6,094.89 is: 9,143.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,782.38 : 26,677.62 = 6,094.89 : x
  2. Step 2: Convert to fraction form
    17,782.38/26,677.62 = 6,094.89/x
  3. Step 3: Cross multiply
    17,782.38x = 26,677.62 × 6,094.89
  4. Step 4: Simplify right side
    17,782.38x = 162,597,159.36
  5. Step 5: Solve for x
    x = 162,597,159.36/17,782.38
  6. Step 6: Final answer
    x = 9,143.72

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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.