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Finding the Fourth Proportional to 14,865.73, 20,510.62 and 9,197.76

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Solution

The fourth proportional to 14,865.73, 20,510.62 and 9,197.76 is: 12,690.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,865.73 : 20,510.62 = 9,197.76 : x
  2. Step 2: Convert to fraction form
    14,865.73/20,510.62 = 9,197.76/x
  3. Step 3: Cross multiply
    14,865.73x = 20,510.62 × 9,197.76
  4. Step 4: Simplify right side
    14,865.73x = 188,651,760.21
  5. Step 5: Solve for x
    x = 188,651,760.21/14,865.73
  6. Step 6: Final answer
    x = 12,690.38

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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.