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Finding the Fourth Proportional to 19,894.12, 27,450.84 and 11,509

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Solution

The fourth proportional to 19,894.12, 27,450.84 and 11,509 is: 15,880.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,894.12 : 27,450.84 = 11,509 : x
  2. Step 2: Convert to fraction form
    19,894.12/27,450.84 = 11,509/x
  3. Step 3: Cross multiply
    19,894.12x = 27,450.84 × 11,509
  4. Step 4: Simplify right side
    19,894.12x = 315,931,717.56
  5. Step 5: Solve for x
    x = 315,931,717.56/19,894.12
  6. Step 6: Final answer
    x = 15,880.66

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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.