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Finding the Fourth Proportional to 13,937.12, 19,232.72 and 7,649.12

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Solution

The fourth proportional to 13,937.12, 19,232.72 and 7,649.12 is: 10,555.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,937.12 : 19,232.72 = 7,649.12 : x
  2. Step 2: Convert to fraction form
    13,937.12/19,232.72 = 7,649.12/x
  3. Step 3: Cross multiply
    13,937.12x = 19,232.72 × 7,649.12
  4. Step 4: Simplify right side
    13,937.12x = 147,113,383.21
  5. Step 5: Solve for x
    x = 147,113,383.21/13,937.12
  6. Step 6: Final answer
    x = 10,555.51

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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.