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Finding the Fourth Proportional to 17,006.49, 23,461.38 and 9,929.79

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Solution

The fourth proportional to 17,006.49, 23,461.38 and 9,929.79 is: 13,698.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,006.49 : 23,461.38 = 9,929.79 : x
  2. Step 2: Convert to fraction form
    17,006.49/23,461.38 = 9,929.79/x
  3. Step 3: Cross multiply
    17,006.49x = 23,461.38 × 9,929.79
  4. Step 4: Simplify right side
    17,006.49x = 232,966,576.51
  5. Step 5: Solve for x
    x = 232,966,576.51/17,006.49
  6. Step 6: Final answer
    x = 13,698.69

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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.