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Finding the Fourth Proportional to 17,348.63, 23,941.10 and 9,896.63

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Solution

The fourth proportional to 17,348.63, 23,941.10 and 9,896.63 is: 13,657.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,348.63 : 23,941.10 = 9,896.63 : x
  2. Step 2: Convert to fraction form
    17,348.63/23,941.10 = 9,896.63/x
  3. Step 3: Cross multiply
    17,348.63x = 23,941.10 × 9,896.63
  4. Step 4: Simplify right side
    17,348.63x = 236,936,113.53
  5. Step 5: Solve for x
    x = 236,936,113.53/17,348.63
  6. Step 6: Final answer
    x = 13,657.34

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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.