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Finding the Fourth Proportional to 19,859.84, 27,424.38 and 14,815.30

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Solution

The fourth proportional to 19,859.84, 27,424.38 and 14,815.30 is: 20,458.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,859.84 : 27,424.38 = 14,815.30 : x
  2. Step 2: Convert to fraction form
    19,859.84/27,424.38 = 14,815.30/x
  3. Step 3: Cross multiply
    19,859.84x = 27,424.38 × 14,815.30
  4. Step 4: Simplify right side
    19,859.84x = 406,300,372.10
  5. Step 5: Solve for x
    x = 406,300,372.10/19,859.84
  6. Step 6: Final answer
    x = 20,458.39

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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.