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Finding the Fourth Proportional to 19,214.40, 28,843.20 and 14,851.20

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Solution

The fourth proportional to 19,214.40, 28,843.20 and 14,851.20 is: 22,293.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,214.40 : 28,843.20 = 14,851.20 : x
  2. Step 2: Convert to fraction form
    19,214.40/28,843.20 = 14,851.20/x
  3. Step 3: Cross multiply
    19,214.40x = 28,843.20 × 14,851.20
  4. Step 4: Simplify right side
    19,214.40x = 428,356,131.84
  5. Step 5: Solve for x
    x = 428,356,131.84/19,214.40
  6. Step 6: Final answer
    x = 22,293.50

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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.