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Finding the Fourth Proportional to 12,803.32, 17,676.16 and 11,383.08

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Solution

The fourth proportional to 12,803.32, 17,676.16 and 11,383.08 is: 15,715.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,803.32 : 17,676.16 = 11,383.08 : x
  2. Step 2: Convert to fraction form
    12,803.32/17,676.16 = 11,383.08/x
  3. Step 3: Cross multiply
    12,803.32x = 17,676.16 × 11,383.08
  4. Step 4: Simplify right side
    12,803.32x = 201,209,143.37
  5. Step 5: Solve for x
    x = 201,209,143.37/12,803.32
  6. Step 6: Final answer
    x = 15,715.39

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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.