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Finding the Fourth Proportional to 17,203.76, 25,805.62 and 11,359

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Solution

The fourth proportional to 17,203.76, 25,805.62 and 11,359 is: 17,038.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,203.76 : 25,805.62 = 11,359 : x
  2. Step 2: Convert to fraction form
    17,203.76/25,805.62 = 11,359/x
  3. Step 3: Cross multiply
    17,203.76x = 25,805.62 × 11,359
  4. Step 4: Simplify right side
    17,203.76x = 293,126,037.58
  5. Step 5: Solve for x
    x = 293,126,037.58/17,203.76
  6. Step 6: Final answer
    x = 17,038.49

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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.