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Finding the Fourth Proportional to 12,384.12, 18,551.88 and 7,179.06

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Solution

The fourth proportional to 12,384.12, 18,551.88 and 7,179.06 is: 10,754.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,384.12 : 18,551.88 = 7,179.06 : x
  2. Step 2: Convert to fraction form
    12,384.12/18,551.88 = 7,179.06/x
  3. Step 3: Cross multiply
    12,384.12x = 18,551.88 × 7,179.06
  4. Step 4: Simplify right side
    12,384.12x = 133,185,059.63
  5. Step 5: Solve for x
    x = 133,185,059.63/12,384.12
  6. Step 6: Final answer
    x = 10,754.50

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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.