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Finding the Fourth Proportional to 14,574.48, 20,107.08 and 8,975.76

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Solution

The fourth proportional to 14,574.48, 20,107.08 and 8,975.76 is: 12,383.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,574.48 : 20,107.08 = 8,975.76 : x
  2. Step 2: Convert to fraction form
    14,574.48/20,107.08 = 8,975.76/x
  3. Step 3: Cross multiply
    14,574.48x = 20,107.08 × 8,975.76
  4. Step 4: Simplify right side
    14,574.48x = 180,476,324.38
  5. Step 5: Solve for x
    x = 180,476,324.38/14,574.48
  6. Step 6: Final answer
    x = 12,383.04

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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.