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Finding the Fourth Proportional to 17,114.34, 25,675.46 and 7,254.01

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Solution

The fourth proportional to 17,114.34, 25,675.46 and 7,254.01 is: 10,882.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,114.34 : 25,675.46 = 7,254.01 : x
  2. Step 2: Convert to fraction form
    17,114.34/25,675.46 = 7,254.01/x
  3. Step 3: Cross multiply
    17,114.34x = 25,675.46 × 7,254.01
  4. Step 4: Simplify right side
    17,114.34x = 186,250,043.59
  5. Step 5: Solve for x
    x = 186,250,043.59/17,114.34
  6. Step 6: Final answer
    x = 10,882.69

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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.