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Finding the Fourth Proportional to 14,853.84, 20,498.04 and 8,139.60

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Solution

The fourth proportional to 14,853.84, 20,498.04 and 8,139.60 is: 11,232.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,853.84 : 20,498.04 = 8,139.60 : x
  2. Step 2: Convert to fraction form
    14,853.84/20,498.04 = 8,139.60/x
  3. Step 3: Cross multiply
    14,853.84x = 20,498.04 × 8,139.60
  4. Step 4: Simplify right side
    14,853.84x = 166,845,846.38
  5. Step 5: Solve for x
    x = 166,845,846.38/14,853.84
  6. Step 6: Final answer
    x = 11,232.51

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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.