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Finding the Fourth Proportional to 17,169, 23,695.20 and 10,458.54

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Solution

The fourth proportional to 17,169, 23,695.20 and 10,458.54 is: 14,433.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,169 : 23,695.20 = 10,458.54 : x
  2. Step 2: Convert to fraction form
    17,169/23,695.20 = 10,458.54/x
  3. Step 3: Cross multiply
    17,169x = 23,695.20 × 10,458.54
  4. Step 4: Simplify right side
    17,169x = 247,817,197.01
  5. Step 5: Solve for x
    x = 247,817,197.01/17,169
  6. Step 6: Final answer
    x = 14,433.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.