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Finding the Fourth Proportional to 12,445.65, 18,643.50 and 6,186.78

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Solution

The fourth proportional to 12,445.65, 18,643.50 and 6,186.78 is: 9,267.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,445.65 : 18,643.50 = 6,186.78 : x
  2. Step 2: Convert to fraction form
    12,445.65/18,643.50 = 6,186.78/x
  3. Step 3: Cross multiply
    12,445.65x = 18,643.50 × 6,186.78
  4. Step 4: Simplify right side
    12,445.65x = 115,343,232.93
  5. Step 5: Solve for x
    x = 115,343,232.93/12,445.65
  6. Step 6: Final answer
    x = 9,267.75

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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.