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Finding the Fourth Proportional to 21,874.60, 32,828.10 and 16,042.60

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Solution

The fourth proportional to 21,874.60, 32,828.10 and 16,042.60 is: 24,075.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,874.60 : 32,828.10 = 16,042.60 : x
  2. Step 2: Convert to fraction form
    21,874.60/32,828.10 = 16,042.60/x
  3. Step 3: Cross multiply
    21,874.60x = 32,828.10 × 16,042.60
  4. Step 4: Simplify right side
    21,874.60x = 526,648,077.06
  5. Step 5: Solve for x
    x = 526,648,077.06/21,874.60
  6. Step 6: Final answer
    x = 24,075.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.