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Finding the Fourth Proportional to 23,789.16, 32,829.32 and 13,179

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Solution

The fourth proportional to 23,789.16, 32,829.32 and 13,179 is: 18,187.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,789.16 : 32,829.32 = 13,179 : x
  2. Step 2: Convert to fraction form
    23,789.16/32,829.32 = 13,179/x
  3. Step 3: Cross multiply
    23,789.16x = 32,829.32 × 13,179
  4. Step 4: Simplify right side
    23,789.16x = 432,657,608.28
  5. Step 5: Solve for x
    x = 432,657,608.28/23,789.16
  6. Step 6: Final answer
    x = 18,187.17

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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.