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Finding the Fourth Proportional to 29,784.90, 41,100.60 and 16,356

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Solution

The fourth proportional to 29,784.90, 41,100.60 and 16,356 is: 22,569.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,784.90 : 41,100.60 = 16,356 : x
  2. Step 2: Convert to fraction form
    29,784.90/41,100.60 = 16,356/x
  3. Step 3: Cross multiply
    29,784.90x = 41,100.60 × 16,356
  4. Step 4: Simplify right side
    29,784.90x = 672,241,413.60
  5. Step 5: Solve for x
    x = 672,241,413.60/29,784.90
  6. Step 6: Final answer
    x = 22,569.87

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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.