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Finding the Fourth Proportional to 13,825.84, 19,079.76 and 7,538.08

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Solution

The fourth proportional to 13,825.84, 19,079.76 and 7,538.08 is: 10,402.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,825.84 : 19,079.76 = 7,538.08 : x
  2. Step 2: Convert to fraction form
    13,825.84/19,079.76 = 7,538.08/x
  3. Step 3: Cross multiply
    13,825.84x = 19,079.76 × 7,538.08
  4. Step 4: Simplify right side
    13,825.84x = 143,824,757.26
  5. Step 5: Solve for x
    x = 143,824,757.26/13,825.84
  6. Step 6: Final answer
    x = 10,402.61

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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.