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Finding the Fourth Proportional to 13,338.34, 18,409.29 and 7,961.16

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Solution

The fourth proportional to 13,338.34, 18,409.29 and 7,961.16 is: 10,987.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,338.34 : 18,409.29 = 7,961.16 : x
  2. Step 2: Convert to fraction form
    13,338.34/18,409.29 = 7,961.16/x
  3. Step 3: Cross multiply
    13,338.34x = 18,409.29 × 7,961.16
  4. Step 4: Simplify right side
    13,338.34x = 146,559,303.18
  5. Step 5: Solve for x
    x = 146,559,303.18/13,338.34
  6. Step 6: Final answer
    x = 10,987.82

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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.