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Finding the Fourth Proportional to 16,968.34, 23,415.86 and 9,311.59

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Solution

The fourth proportional to 16,968.34, 23,415.86 and 9,311.59 is: 12,849.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,968.34 : 23,415.86 = 9,311.59 : x
  2. Step 2: Convert to fraction form
    16,968.34/23,415.86 = 9,311.59/x
  3. Step 3: Cross multiply
    16,968.34x = 23,415.86 × 9,311.59
  4. Step 4: Simplify right side
    16,968.34x = 218,038,782.72
  5. Step 5: Solve for x
    x = 218,038,782.72/16,968.34
  6. Step 6: Final answer
    x = 12,849.74

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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.