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Finding the Fourth Proportional to 13,162.10, 19,641.29 and 11,760.19

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Solution

The fourth proportional to 13,162.10, 19,641.29 and 11,760.19 is: 17,549.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,162.10 : 19,641.29 = 11,760.19 : x
  2. Step 2: Convert to fraction form
    13,162.10/19,641.29 = 11,760.19/x
  3. Step 3: Cross multiply
    13,162.10x = 19,641.29 × 11,760.19
  4. Step 4: Simplify right side
    13,162.10x = 230,985,194.34
  5. Step 5: Solve for x
    x = 230,985,194.34/13,162.10
  6. Step 6: Final answer
    x = 17,549.27

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Why These Related Problems?

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