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Finding the Fourth Proportional to 14,901.34, 20,564.22 and 8,187.41

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Solution

The fourth proportional to 14,901.34, 20,564.22 and 8,187.41 is: 11,298.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,901.34 : 20,564.22 = 8,187.41 : x
  2. Step 2: Convert to fraction form
    14,901.34/20,564.22 = 8,187.41/x
  3. Step 3: Cross multiply
    14,901.34x = 20,564.22 × 8,187.41
  4. Step 4: Simplify right side
    14,901.34x = 168,367,556.71
  5. Step 5: Solve for x
    x = 168,367,556.71/14,901.34
  6. Step 6: Final answer
    x = 11,298.82

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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.