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Finding the Fourth Proportional to 12,179.78, 18,246.12 and 7,485.98

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Solution

The fourth proportional to 12,179.78, 18,246.12 and 7,485.98 is: 11,214.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,179.78 : 18,246.12 = 7,485.98 : x
  2. Step 2: Convert to fraction form
    12,179.78/18,246.12 = 7,485.98/x
  3. Step 3: Cross multiply
    12,179.78x = 18,246.12 × 7,485.98
  4. Step 4: Simplify right side
    12,179.78x = 136,590,089.40
  5. Step 5: Solve for x
    x = 136,590,089.40/12,179.78
  6. Step 6: Final answer
    x = 11,214.50

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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.