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Finding the Fourth Proportional to 13,832, 19,088.16 and 8,864

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Solution

The fourth proportional to 13,832, 19,088.16 and 8,864 is: 12,232.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832 : 19,088.16 = 8,864 : x
  2. Step 2: Convert to fraction form
    13,832/19,088.16 = 8,864/x
  3. Step 3: Cross multiply
    13,832x = 19,088.16 × 8,864
  4. Step 4: Simplify right side
    13,832x = 169,197,450.24
  5. Step 5: Solve for x
    x = 169,197,450.24/13,832
  6. Step 6: Final answer
    x = 12,232.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.