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Finding the Fourth Proportional to 17,968.56, 26,950.76 and 6,875

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Solution

The fourth proportional to 17,968.56, 26,950.76 and 6,875 is: 10,311.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,968.56 : 26,950.76 = 6,875 : x
  2. Step 2: Convert to fraction form
    17,968.56/26,950.76 = 6,875/x
  3. Step 3: Cross multiply
    17,968.56x = 26,950.76 × 6,875
  4. Step 4: Simplify right side
    17,968.56x = 185,286,475
  5. Step 5: Solve for x
    x = 185,286,475/17,968.56
  6. Step 6: Final answer
    x = 10,311.70

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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.