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Finding the Fourth Proportional to 13,015.35, 17,961.41 and 7,641.63

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Solution

The fourth proportional to 13,015.35, 17,961.41 and 7,641.63 is: 10,545.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,015.35 : 17,961.41 = 7,641.63 : x
  2. Step 2: Convert to fraction form
    13,015.35/17,961.41 = 7,641.63/x
  3. Step 3: Cross multiply
    13,015.35x = 17,961.41 × 7,641.63
  4. Step 4: Simplify right side
    13,015.35x = 137,254,449.50
  5. Step 5: Solve for x
    x = 137,254,449.50/13,015.35
  6. Step 6: Final answer
    x = 10,545.58

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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.