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Finding the Fourth Proportional to 14,860.82, 20,510.03 and 9,197.39

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Solution

The fourth proportional to 14,860.82, 20,510.03 and 9,197.39 is: 12,693.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,860.82 : 20,510.03 = 9,197.39 : x
  2. Step 2: Convert to fraction form
    14,860.82/20,510.03 = 9,197.39/x
  3. Step 3: Cross multiply
    14,860.82x = 20,510.03 × 9,197.39
  4. Step 4: Simplify right side
    14,860.82x = 188,638,819.09
  5. Step 5: Solve for x
    x = 188,638,819.09/14,860.82
  6. Step 6: Final answer
    x = 12,693.70

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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.