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Finding the Fourth Proportional to 28,596.66, 42,884.46 and 9,871.92

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Solution

The fourth proportional to 28,596.66, 42,884.46 and 9,871.92 is: 14,804.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,596.66 : 42,884.46 = 9,871.92 : x
  2. Step 2: Convert to fraction form
    28,596.66/42,884.46 = 9,871.92/x
  3. Step 3: Cross multiply
    28,596.66x = 42,884.46 × 9,871.92
  4. Step 4: Simplify right side
    28,596.66x = 423,351,958.36
  5. Step 5: Solve for x
    x = 423,351,958.36/28,596.66
  6. Step 6: Final answer
    x = 14,804.24

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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.