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Finding the Fourth Proportional to 16,836.86, 23,239.96 and 9,765.02

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Solution

The fourth proportional to 16,836.86, 23,239.96 and 9,765.02 is: 13,478.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,836.86 : 23,239.96 = 9,765.02 : x
  2. Step 2: Convert to fraction form
    16,836.86/23,239.96 = 9,765.02/x
  3. Step 3: Cross multiply
    16,836.86x = 23,239.96 × 9,765.02
  4. Step 4: Simplify right side
    16,836.86x = 226,938,533.59
  5. Step 5: Solve for x
    x = 226,938,533.59/16,836.86
  6. Step 6: Final answer
    x = 13,478.68

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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.