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Finding the Fourth Proportional to 13,207.54, 19,673.70 and 12,506.33

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Solution

The fourth proportional to 13,207.54, 19,673.70 and 12,506.33 is: 18,629.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,207.54 : 19,673.70 = 12,506.33 : x
  2. Step 2: Convert to fraction form
    13,207.54/19,673.70 = 12,506.33/x
  3. Step 3: Cross multiply
    13,207.54x = 19,673.70 × 12,506.33
  4. Step 4: Simplify right side
    13,207.54x = 246,045,784.52
  5. Step 5: Solve for x
    x = 246,045,784.52/13,207.54
  6. Step 6: Final answer
    x = 18,629.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.