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Finding the Fourth Proportional to 14,513.63, 21,752.22 and 7,849.86

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Solution

The fourth proportional to 14,513.63, 21,752.22 and 7,849.86 is: 11,764.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,513.63 : 21,752.22 = 7,849.86 : x
  2. Step 2: Convert to fraction form
    14,513.63/21,752.22 = 7,849.86/x
  3. Step 3: Cross multiply
    14,513.63x = 21,752.22 × 7,849.86
  4. Step 4: Simplify right side
    14,513.63x = 170,751,785.40
  5. Step 5: Solve for x
    x = 170,751,785.40/14,513.63
  6. Step 6: Final answer
    x = 11,764.93

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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.