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Finding the Fourth Proportional to 19,451.20, 29,191.32 and 13,828.12

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Solution

The fourth proportional to 19,451.20, 29,191.32 and 13,828.12 is: 20,752.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,451.20 : 29,191.32 = 13,828.12 : x
  2. Step 2: Convert to fraction form
    19,451.20/29,191.32 = 13,828.12/x
  3. Step 3: Cross multiply
    19,451.20x = 29,191.32 × 13,828.12
  4. Step 4: Simplify right side
    19,451.20x = 403,661,075.92
  5. Step 5: Solve for x
    x = 403,661,075.92/19,451.20
  6. Step 6: Final answer
    x = 20,752.50

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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.