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Finding the Fourth Proportional to 12,305.19, 16,975.25 and 8,054.38

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Solution

The fourth proportional to 12,305.19, 16,975.25 and 8,054.38 is: 11,111.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,305.19 : 16,975.25 = 8,054.38 : x
  2. Step 2: Convert to fraction form
    12,305.19/16,975.25 = 8,054.38/x
  3. Step 3: Cross multiply
    12,305.19x = 16,975.25 × 8,054.38
  4. Step 4: Simplify right side
    12,305.19x = 136,725,122.81
  5. Step 5: Solve for x
    x = 136,725,122.81/12,305.19
  6. Step 6: Final answer
    x = 11,111.17

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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.