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Finding the Fourth Proportional to 28,197.63, 42,299.30 and 10,432.98

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Solution

The fourth proportional to 28,197.63, 42,299.30 and 10,432.98 is: 15,650.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,197.63 : 42,299.30 = 10,432.98 : x
  2. Step 2: Convert to fraction form
    28,197.63/42,299.30 = 10,432.98/x
  3. Step 3: Cross multiply
    28,197.63x = 42,299.30 × 10,432.98
  4. Step 4: Simplify right side
    28,197.63x = 441,307,750.91
  5. Step 5: Solve for x
    x = 441,307,750.91/28,197.63
  6. Step 6: Final answer
    x = 15,650.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.