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Finding the Fourth Proportional to 17,196, 23,730.48 and 10,126.77

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Solution

The fourth proportional to 17,196, 23,730.48 and 10,126.77 is: 13,974.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,196 : 23,730.48 = 10,126.77 : x
  2. Step 2: Convert to fraction form
    17,196/23,730.48 = 10,126.77/x
  3. Step 3: Cross multiply
    17,196x = 23,730.48 × 10,126.77
  4. Step 4: Simplify right side
    17,196x = 240,313,112.95
  5. Step 5: Solve for x
    x = 240,313,112.95/17,196
  6. Step 6: Final answer
    x = 13,974.94

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1.5x scale

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.