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Finding the Fourth Proportional to 11,898.48, 16,491.12 and 11,677.20

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Solution

The fourth proportional to 11,898.48, 16,491.12 and 11,677.20 is: 16,184.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,898.48 : 16,491.12 = 11,677.20 : x
  2. Step 2: Convert to fraction form
    11,898.48/16,491.12 = 11,677.20/x
  3. Step 3: Cross multiply
    11,898.48x = 16,491.12 × 11,677.20
  4. Step 4: Simplify right side
    11,898.48x = 192,570,106.46
  5. Step 5: Solve for x
    x = 192,570,106.46/11,898.48
  6. Step 6: Final answer
    x = 16,184.43

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.