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Finding the Fourth Proportional to 21,507.38, 29,680.20 and 12,075.96

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Solution

The fourth proportional to 21,507.38, 29,680.20 and 12,075.96 is: 16,664.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,507.38 : 29,680.20 = 12,075.96 : x
  2. Step 2: Convert to fraction form
    21,507.38/29,680.20 = 12,075.96/x
  3. Step 3: Cross multiply
    21,507.38x = 29,680.20 × 12,075.96
  4. Step 4: Simplify right side
    21,507.38x = 358,416,907.99
  5. Step 5: Solve for x
    x = 358,416,907.99/21,507.38
  6. Step 6: Final answer
    x = 16,664.84

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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.