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Finding the Fourth Proportional to 14,628, 20,186.64 and 8,004

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Solution

The fourth proportional to 14,628, 20,186.64 and 8,004 is: 11,045.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,628 : 20,186.64 = 8,004 : x
  2. Step 2: Convert to fraction form
    14,628/20,186.64 = 8,004/x
  3. Step 3: Cross multiply
    14,628x = 20,186.64 × 8,004
  4. Step 4: Simplify right side
    14,628x = 161,573,866.56
  5. Step 5: Solve for x
    x = 161,573,866.56/14,628
  6. Step 6: Final answer
    x = 11,045.52

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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.