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Finding the Fourth Proportional to 13,038.67, 17,995.85 and 7,736.41

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Solution

The fourth proportional to 13,038.67, 17,995.85 and 7,736.41 is: 10,677.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,038.67 : 17,995.85 = 7,736.41 : x
  2. Step 2: Convert to fraction form
    13,038.67/17,995.85 = 7,736.41/x
  3. Step 3: Cross multiply
    13,038.67x = 17,995.85 × 7,736.41
  4. Step 4: Simplify right side
    13,038.67x = 139,223,273.90
  5. Step 5: Solve for x
    x = 139,223,273.90/13,038.67
  6. Step 6: Final answer
    x = 10,677.72

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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.