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Finding the Fourth Proportional to 14,473.26, 19,969.94 and 9,165

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Solution

The fourth proportional to 14,473.26, 19,969.94 and 9,165 is: 12,645.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,473.26 : 19,969.94 = 9,165 : x
  2. Step 2: Convert to fraction form
    14,473.26/19,969.94 = 9,165/x
  3. Step 3: Cross multiply
    14,473.26x = 19,969.94 × 9,165
  4. Step 4: Simplify right side
    14,473.26x = 183,024,500.10
  5. Step 5: Solve for x
    x = 183,024,500.10/14,473.26
  6. Step 6: Final answer
    x = 12,645.70

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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.