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Finding the Fourth Proportional to 13,822.73, 19,075.38 and 7,535.11

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Solution

The fourth proportional to 13,822.73, 19,075.38 and 7,535.11 is: 10,398.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,822.73 : 19,075.38 = 7,535.11 : x
  2. Step 2: Convert to fraction form
    13,822.73/19,075.38 = 7,535.11/x
  3. Step 3: Cross multiply
    13,822.73x = 19,075.38 × 7,535.11
  4. Step 4: Simplify right side
    13,822.73x = 143,735,088.80
  5. Step 5: Solve for x
    x = 143,735,088.80/13,822.73
  6. Step 6: Final answer
    x = 10,398.46

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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.