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Finding the Fourth Proportional to 17,684, 26,460.56 and 10,668.08

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Solution

The fourth proportional to 17,684, 26,460.56 and 10,668.08 is: 15,962.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,684 : 26,460.56 = 10,668.08 : x
  2. Step 2: Convert to fraction form
    17,684/26,460.56 = 10,668.08/x
  3. Step 3: Cross multiply
    17,684x = 26,460.56 × 10,668.08
  4. Step 4: Simplify right side
    17,684x = 282,283,370.92
  5. Step 5: Solve for x
    x = 282,283,370.92/17,684
  6. Step 6: Final answer
    x = 15,962.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.