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Finding the Fourth Proportional to 17,406.78, 26,114.46 and 5,094.78

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Solution

The fourth proportional to 17,406.78, 26,114.46 and 5,094.78 is: 7,643.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,406.78 : 26,114.46 = 5,094.78 : x
  2. Step 2: Convert to fraction form
    17,406.78/26,114.46 = 5,094.78/x
  3. Step 3: Cross multiply
    17,406.78x = 26,114.46 × 5,094.78
  4. Step 4: Simplify right side
    17,406.78x = 133,047,428.52
  5. Step 5: Solve for x
    x = 133,047,428.52/17,406.78
  6. Step 6: Final answer
    x = 7,643.43

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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.