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Finding the Fourth Proportional to 17,033, 23,506.62 and 9,581

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Solution

The fourth proportional to 17,033, 23,506.62 and 9,581 is: 13,222.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,033 : 23,506.62 = 9,581 : x
  2. Step 2: Convert to fraction form
    17,033/23,506.62 = 9,581/x
  3. Step 3: Cross multiply
    17,033x = 23,506.62 × 9,581
  4. Step 4: Simplify right side
    17,033x = 225,216,926.22
  5. Step 5: Solve for x
    x = 225,216,926.22/17,033
  6. Step 6: Final answer
    x = 13,222.39

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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.