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Finding the Fourth Proportional to 13,821.75, 19,074.15 and 7,534.26

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Solution

The fourth proportional to 13,821.75, 19,074.15 and 7,534.26 is: 10,397.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,821.75 : 19,074.15 = 7,534.26 : x
  2. Step 2: Convert to fraction form
    13,821.75/19,074.15 = 7,534.26/x
  3. Step 3: Cross multiply
    13,821.75x = 19,074.15 × 7,534.26
  4. Step 4: Simplify right side
    13,821.75x = 143,709,605.38
  5. Step 5: Solve for x
    x = 143,709,605.38/13,821.75
  6. Step 6: Final answer
    x = 10,397.35

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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.