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Finding the Fourth Proportional to 16,409.39, 22,645.25 and 9,695.00

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Solution

The fourth proportional to 16,409.39, 22,645.25 and 9,695.00 is: 13,379.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,409.39 : 22,645.25 = 9,695.00 : x
  2. Step 2: Convert to fraction form
    16,409.39/22,645.25 = 9,695.00/x
  3. Step 3: Cross multiply
    16,409.39x = 22,645.25 × 9,695.00
  4. Step 4: Simplify right side
    16,409.39x = 219,545,743.24
  5. Step 5: Solve for x
    x = 219,545,743.24/16,409.39
  6. Step 6: Final answer
    x = 13,379.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.