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Finding the Fourth Proportional to 12,124.65, 18,186.98 and 9,208.65

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Solution

The fourth proportional to 12,124.65, 18,186.98 and 9,208.65 is: 13,812.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,124.65 : 18,186.98 = 9,208.65 : x
  2. Step 2: Convert to fraction form
    12,124.65/18,186.98 = 9,208.65/x
  3. Step 3: Cross multiply
    12,124.65x = 18,186.98 × 9,208.65
  4. Step 4: Simplify right side
    12,124.65x = 167,477,487.33
  5. Step 5: Solve for x
    x = 167,477,487.33/12,124.65
  6. Step 6: Final answer
    x = 13,812.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.