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Finding the Fourth Proportional to 12,429.86, 17,155.68 and 7,128.26

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Solution

The fourth proportional to 12,429.86, 17,155.68 and 7,128.26 is: 9,838.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,429.86 : 17,155.68 = 7,128.26 : x
  2. Step 2: Convert to fraction form
    12,429.86/17,155.68 = 7,128.26/x
  3. Step 3: Cross multiply
    12,429.86x = 17,155.68 × 7,128.26
  4. Step 4: Simplify right side
    12,429.86x = 122,290,147.52
  5. Step 5: Solve for x
    x = 122,290,147.52/12,429.86
  6. Step 6: Final answer
    x = 9,838.42

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