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Finding the Fourth Proportional to 17,857.80, 24,643.10 and 10,304.48

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Solution

The fourth proportional to 17,857.80, 24,643.10 and 10,304.48 is: 14,219.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,857.80 : 24,643.10 = 10,304.48 : x
  2. Step 2: Convert to fraction form
    17,857.80/24,643.10 = 10,304.48/x
  3. Step 3: Cross multiply
    17,857.80x = 24,643.10 × 10,304.48
  4. Step 4: Simplify right side
    17,857.80x = 253,934,418.46
  5. Step 5: Solve for x
    x = 253,934,418.46/17,857.80
  6. Step 6: Final answer
    x = 14,219.80

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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.