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Finding the Fourth Proportional to 17,829.60, 26,735.14 and 7,830.24

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Solution

The fourth proportional to 17,829.60, 26,735.14 and 7,830.24 is: 11,741.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,829.60 : 26,735.14 = 7,830.24 : x
  2. Step 2: Convert to fraction form
    17,829.60/26,735.14 = 7,830.24/x
  3. Step 3: Cross multiply
    17,829.60x = 26,735.14 × 7,830.24
  4. Step 4: Simplify right side
    17,829.60x = 209,342,562.63
  5. Step 5: Solve for x
    x = 209,342,562.63/17,829.60
  6. Step 6: Final answer
    x = 11,741.29

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