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Finding the Fourth Proportional to 13,411.32, 18,509.49 and 7,744.92

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Solution

The fourth proportional to 13,411.32, 18,509.49 and 7,744.92 is: 10,689.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,411.32 : 18,509.49 = 7,744.92 : x
  2. Step 2: Convert to fraction form
    13,411.32/18,509.49 = 7,744.92/x
  3. Step 3: Cross multiply
    13,411.32x = 18,509.49 × 7,744.92
  4. Step 4: Simplify right side
    13,411.32x = 143,354,519.29
  5. Step 5: Solve for x
    x = 143,354,519.29/13,411.32
  6. Step 6: Final answer
    x = 10,689.07

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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.