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Finding the Fourth Proportional to 12,186.98, 18,283.23 and 3,867.50

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Solution

The fourth proportional to 12,186.98, 18,283.23 and 3,867.50 is: 5,802.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186.98 : 18,283.23 = 3,867.50 : x
  2. Step 2: Convert to fraction form
    12,186.98/18,283.23 = 3,867.50/x
  3. Step 3: Cross multiply
    12,186.98x = 18,283.23 × 3,867.50
  4. Step 4: Simplify right side
    12,186.98x = 70,710,392.03
  5. Step 5: Solve for x
    x = 70,710,392.03/12,186.98
  6. Step 6: Final answer
    x = 5,802.13

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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.