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Finding the Fourth Proportional to 13,135.26, 18,129.02 and 7,830.42

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Solution

The fourth proportional to 13,135.26, 18,129.02 and 7,830.42 is: 10,807.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,135.26 : 18,129.02 = 7,830.42 : x
  2. Step 2: Convert to fraction form
    13,135.26/18,129.02 = 7,830.42/x
  3. Step 3: Cross multiply
    13,135.26x = 18,129.02 × 7,830.42
  4. Step 4: Simplify right side
    13,135.26x = 141,957,835.63
  5. Step 5: Solve for x
    x = 141,957,835.63/13,135.26
  6. Step 6: Final answer
    x = 10,807.38

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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.