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Finding the Fourth Proportional to 16,969.32, 23,417.66 and 9,894.38

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Solution

The fourth proportional to 16,969.32, 23,417.66 and 9,894.38 is: 13,654.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,969.32 : 23,417.66 = 9,894.38 : x
  2. Step 2: Convert to fraction form
    16,969.32/23,417.66 = 9,894.38/x
  3. Step 3: Cross multiply
    16,969.32x = 23,417.66 × 9,894.38
  4. Step 4: Simplify right side
    16,969.32x = 231,703,060.19
  5. Step 5: Solve for x
    x = 231,703,060.19/16,969.32
  6. Step 6: Final answer
    x = 13,654.23

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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.