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Finding the Fourth Proportional to 13,119.64, 19,660.38 and 8,111.32

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Solution

The fourth proportional to 13,119.64, 19,660.38 and 8,111.32 is: 12,155.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,119.64 : 19,660.38 = 8,111.32 : x
  2. Step 2: Convert to fraction form
    13,119.64/19,660.38 = 8,111.32/x
  3. Step 3: Cross multiply
    13,119.64x = 19,660.38 × 8,111.32
  4. Step 4: Simplify right side
    13,119.64x = 159,471,633.50
  5. Step 5: Solve for x
    x = 159,471,633.50/13,119.64
  6. Step 6: Final answer
    x = 12,155.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.