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Finding the Fourth Proportional to 13,825.64, 19,079.38 and 7,538

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Solution

The fourth proportional to 13,825.64, 19,079.38 and 7,538 is: 10,402.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,825.64 : 19,079.38 = 7,538 : x
  2. Step 2: Convert to fraction form
    13,825.64/19,079.38 = 7,538/x
  3. Step 3: Cross multiply
    13,825.64x = 19,079.38 × 7,538
  4. Step 4: Simplify right side
    13,825.64x = 143,820,366.44
  5. Step 5: Solve for x
    x = 143,820,366.44/13,825.64
  6. Step 6: Final answer
    x = 10,402.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.