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Finding the Fourth Proportional to 16,783.17, 23,158.98 and 9,708.27

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Solution

The fourth proportional to 16,783.17, 23,158.98 and 9,708.27 is: 13,396.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,783.17 : 23,158.98 = 9,708.27 : x
  2. Step 2: Convert to fraction form
    16,783.17/23,158.98 = 9,708.27/x
  3. Step 3: Cross multiply
    16,783.17x = 23,158.98 × 9,708.27
  4. Step 4: Simplify right side
    16,783.17x = 224,833,630.76
  5. Step 5: Solve for x
    x = 224,833,630.76/16,783.17
  6. Step 6: Final answer
    x = 13,396.37

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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.