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Finding the Fourth Proportional to 12,178.08, 18,225 and 7,496.28

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Solution

The fourth proportional to 12,178.08, 18,225 and 7,496.28 is: 11,218.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,178.08 : 18,225 = 7,496.28 : x
  2. Step 2: Convert to fraction form
    12,178.08/18,225 = 7,496.28/x
  3. Step 3: Cross multiply
    12,178.08x = 18,225 × 7,496.28
  4. Step 4: Simplify right side
    12,178.08x = 136,619,703
  5. Step 5: Solve for x
    x = 136,619,703/12,178.08
  6. Step 6: Final answer
    x = 11,218.49

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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.