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Finding the Fourth Proportional to 19,202.40, 28,825.20 and 14,839.20

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Solution

The fourth proportional to 19,202.40, 28,825.20 and 14,839.20 is: 22,275.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,202.40 : 28,825.20 = 14,839.20 : x
  2. Step 2: Convert to fraction form
    19,202.40/28,825.20 = 14,839.20/x
  3. Step 3: Cross multiply
    19,202.40x = 28,825.20 × 14,839.20
  4. Step 4: Simplify right side
    19,202.40x = 427,742,907.84
  5. Step 5: Solve for x
    x = 427,742,907.84/19,202.40
  6. Step 6: Final answer
    x = 22,275.49

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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.