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Finding the Fourth Proportional to 17,135.69, 25,695.35 and 10,021.93

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Solution

The fourth proportional to 17,135.69, 25,695.35 and 10,021.93 is: 15,028.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,135.69 : 25,695.35 = 10,021.93 : x
  2. Step 2: Convert to fraction form
    17,135.69/25,695.35 = 10,021.93/x
  3. Step 3: Cross multiply
    17,135.69x = 25,695.35 × 10,021.93
  4. Step 4: Simplify right side
    17,135.69x = 257,516,922.26
  5. Step 5: Solve for x
    x = 257,516,922.26/17,135.69
  6. Step 6: Final answer
    x = 15,028.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.