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Finding the Fourth Proportional to 13,137.24, 18,128.94 and 7,829.30

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Solution

The fourth proportional to 13,137.24, 18,128.94 and 7,829.30 is: 10,804.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,137.24 : 18,128.94 = 7,829.30 : x
  2. Step 2: Convert to fraction form
    13,137.24/18,128.94 = 7,829.30/x
  3. Step 3: Cross multiply
    13,137.24x = 18,128.94 × 7,829.30
  4. Step 4: Simplify right side
    13,137.24x = 141,936,909.94
  5. Step 5: Solve for x
    x = 141,936,909.94/13,137.24
  6. Step 6: Final answer
    x = 10,804.17

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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.