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Finding the Fourth Proportional to 16,768.56, 23,143.95 and 9,697.26

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Solution

The fourth proportional to 16,768.56, 23,143.95 and 9,697.26 is: 13,384.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,768.56 : 23,143.95 = 9,697.26 : x
  2. Step 2: Convert to fraction form
    16,768.56/23,143.95 = 9,697.26/x
  3. Step 3: Cross multiply
    16,768.56x = 23,143.95 × 9,697.26
  4. Step 4: Simplify right side
    16,768.56x = 224,432,900.58
  5. Step 5: Solve for x
    x = 224,432,900.58/16,768.56
  6. Step 6: Final answer
    x = 13,384.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.