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Finding the Fourth Proportional to 14,200.38, 19,581.14 and 9,666

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Solution

The fourth proportional to 14,200.38, 19,581.14 and 9,666 is: 13,328.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,200.38 : 19,581.14 = 9,666 : x
  2. Step 2: Convert to fraction form
    14,200.38/19,581.14 = 9,666/x
  3. Step 3: Cross multiply
    14,200.38x = 19,581.14 × 9,666
  4. Step 4: Simplify right side
    14,200.38x = 189,271,323.41
  5. Step 5: Solve for x
    x = 189,271,323.41/14,200.38
  6. Step 6: Final answer
    x = 13,328.61

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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.