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Finding the Fourth Proportional to 14,309.03, 19,755.72 and 9,206.83

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Solution

The fourth proportional to 14,309.03, 19,755.72 and 9,206.83 is: 12,711.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,309.03 : 19,755.72 = 9,206.83 : x
  2. Step 2: Convert to fraction form
    14,309.03/19,755.72 = 9,206.83/x
  3. Step 3: Cross multiply
    14,309.03x = 19,755.72 × 9,206.83
  4. Step 4: Simplify right side
    14,309.03x = 181,887,555.57
  5. Step 5: Solve for x
    x = 181,887,555.57/14,309.03
  6. Step 6: Final answer
    x = 12,711.38

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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.