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Finding the Fourth Proportional to 28,822.38, 39,774.82 and 16,075.58

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Solution

The fourth proportional to 28,822.38, 39,774.82 and 16,075.58 is: 22,184.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,822.38 : 39,774.82 = 16,075.58 : x
  2. Step 2: Convert to fraction form
    28,822.38/39,774.82 = 16,075.58/x
  3. Step 3: Cross multiply
    28,822.38x = 39,774.82 × 16,075.58
  4. Step 4: Simplify right side
    28,822.38x = 639,403,300.90
  5. Step 5: Solve for x
    x = 639,403,300.90/28,822.38
  6. Step 6: Final answer
    x = 22,184.26

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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.