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Finding the Fourth Proportional to 30,883.16, 42,618.75 and 16,736

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Solution

The fourth proportional to 30,883.16, 42,618.75 and 16,736 is: 23,095.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,883.16 : 42,618.75 = 16,736 : x
  2. Step 2: Convert to fraction form
    30,883.16/42,618.75 = 16,736/x
  3. Step 3: Cross multiply
    30,883.16x = 42,618.75 × 16,736
  4. Step 4: Simplify right side
    30,883.16x = 713,267,400
  5. Step 5: Solve for x
    x = 713,267,400/30,883.16
  6. Step 6: Final answer
    x = 23,095.68

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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.