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Finding the Fourth Proportional to 17,411, 24,027.12 and 9,857.18

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Solution

The fourth proportional to 17,411, 24,027.12 and 9,857.18 is: 13,602.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,411 : 24,027.12 = 9,857.18 : x
  2. Step 2: Convert to fraction form
    17,411/24,027.12 = 9,857.18/x
  3. Step 3: Cross multiply
    17,411x = 24,027.12 × 9,857.18
  4. Step 4: Simplify right side
    17,411x = 236,839,646.72
  5. Step 5: Solve for x
    x = 236,839,646.72/17,411
  6. Step 6: Final answer
    x = 13,602.87

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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.