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Finding the Fourth Proportional to 13,825.84, 19,080.24 and 7,538.56

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Solution

The fourth proportional to 13,825.84, 19,080.24 and 7,538.56 is: 10,403.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,825.84 : 19,080.24 = 7,538.56 : x
  2. Step 2: Convert to fraction form
    13,825.84/19,080.24 = 7,538.56/x
  3. Step 3: Cross multiply
    13,825.84x = 19,080.24 × 7,538.56
  4. Step 4: Simplify right side
    13,825.84x = 143,837,534.05
  5. Step 5: Solve for x
    x = 143,837,534.05/13,825.84
  6. Step 6: Final answer
    x = 10,403.53

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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.