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Finding the Fourth Proportional to 10,969.36, 15,101.16 and 10,467.20

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Solution

The fourth proportional to 10,969.36, 15,101.16 and 10,467.20 is: 14,409.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,969.36 : 15,101.16 = 10,467.20 : x
  2. Step 2: Convert to fraction form
    10,969.36/15,101.16 = 10,467.20/x
  3. Step 3: Cross multiply
    10,969.36x = 15,101.16 × 10,467.20
  4. Step 4: Simplify right side
    10,969.36x = 158,066,861.95
  5. Step 5: Solve for x
    x = 158,066,861.95/10,969.36
  6. Step 6: Final answer
    x = 14,409.85

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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.