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Finding the Fourth Proportional to 16,984, 25,356.56 and 14,519.68

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Solution

The fourth proportional to 16,984, 25,356.56 and 14,519.68 is: 21,677.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,984 : 25,356.56 = 14,519.68 : x
  2. Step 2: Convert to fraction form
    16,984/25,356.56 = 14,519.68/x
  3. Step 3: Cross multiply
    16,984x = 25,356.56 × 14,519.68
  4. Step 4: Simplify right side
    16,984x = 368,169,137.10
  5. Step 5: Solve for x
    x = 368,169,137.10/16,984
  6. Step 6: Final answer
    x = 21,677.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.