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Finding the Fourth Proportional to 13,796.88, 19,039.68 and 7,509.24

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Solution

The fourth proportional to 13,796.88, 19,039.68 and 7,509.24 is: 10,362.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,796.88 : 19,039.68 = 7,509.24 : x
  2. Step 2: Convert to fraction form
    13,796.88/19,039.68 = 7,509.24/x
  3. Step 3: Cross multiply
    13,796.88x = 19,039.68 × 7,509.24
  4. Step 4: Simplify right side
    13,796.88x = 142,973,526.64
  5. Step 5: Solve for x
    x = 142,973,526.64/13,796.88
  6. Step 6: Final answer
    x = 10,362.74

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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.