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Finding the Fourth Proportional to 12,506.65, 18,762.49 and 4,609.21

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Solution

The fourth proportional to 12,506.65, 18,762.49 and 4,609.21 is: 6,914.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,506.65 : 18,762.49 = 4,609.21 : x
  2. Step 2: Convert to fraction form
    12,506.65/18,762.49 = 4,609.21/x
  3. Step 3: Cross multiply
    12,506.65x = 18,762.49 × 4,609.21
  4. Step 4: Simplify right side
    12,506.65x = 86,480,198.10
  5. Step 5: Solve for x
    x = 86,480,198.10/12,506.65
  6. Step 6: Final answer
    x = 6,914.74

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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.