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Finding the Fourth Proportional to 12,477.65, 18,708.84 and 6,144.53

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Solution

The fourth proportional to 12,477.65, 18,708.84 and 6,144.53 is: 9,213.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,477.65 : 18,708.84 = 6,144.53 : x
  2. Step 2: Convert to fraction form
    12,477.65/18,708.84 = 6,144.53/x
  3. Step 3: Cross multiply
    12,477.65x = 18,708.84 × 6,144.53
  4. Step 4: Simplify right side
    12,477.65x = 114,956,935.10
  5. Step 5: Solve for x
    x = 114,956,935.10/12,477.65
  6. Step 6: Final answer
    x = 9,213.03

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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.