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Finding the Fourth Proportional to 12,084.65, 18,124.03 and 9,445.62

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Solution

The fourth proportional to 12,084.65, 18,124.03 and 9,445.62 is: 14,166.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,084.65 : 18,124.03 = 9,445.62 : x
  2. Step 2: Convert to fraction form
    12,084.65/18,124.03 = 9,445.62/x
  3. Step 3: Cross multiply
    12,084.65x = 18,124.03 × 9,445.62
  4. Step 4: Simplify right side
    12,084.65x = 171,192,700.25
  5. Step 5: Solve for x
    x = 171,192,700.25/12,084.65
  6. Step 6: Final answer
    x = 14,166.13

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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.