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Finding the Fourth Proportional to 30,409.67, 41,964.93 and 16,981.16

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Solution

The fourth proportional to 30,409.67, 41,964.93 and 16,981.16 is: 23,433.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,409.67 : 41,964.93 = 16,981.16 : x
  2. Step 2: Convert to fraction form
    30,409.67/41,964.93 = 16,981.16/x
  3. Step 3: Cross multiply
    30,409.67x = 41,964.93 × 16,981.16
  4. Step 4: Simplify right side
    30,409.67x = 712,612,980.89
  5. Step 5: Solve for x
    x = 712,612,980.89/30,409.67
  6. Step 6: Final answer
    x = 23,433.77

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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.