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Finding the Fourth Proportional to 13,822.46, 19,075.48 and 7,854.38

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Solution

The fourth proportional to 13,822.46, 19,075.48 and 7,854.38 is: 10,839.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,822.46 : 19,075.48 = 7,854.38 : x
  2. Step 2: Convert to fraction form
    13,822.46/19,075.48 = 7,854.38/x
  3. Step 3: Cross multiply
    13,822.46x = 19,075.48 × 7,854.38
  4. Step 4: Simplify right side
    13,822.46x = 149,825,953.59
  5. Step 5: Solve for x
    x = 149,825,953.59/13,822.46
  6. Step 6: Final answer
    x = 10,839.32

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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.