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Finding the Fourth Proportional to 17,103.12, 23,602.08 and 9,549.58

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Solution

The fourth proportional to 17,103.12, 23,602.08 and 9,549.58 is: 13,178.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,103.12 : 23,602.08 = 9,549.58 : x
  2. Step 2: Convert to fraction form
    17,103.12/23,602.08 = 9,549.58/x
  3. Step 3: Cross multiply
    17,103.12x = 23,602.08 × 9,549.58
  4. Step 4: Simplify right side
    17,103.12x = 225,389,951.13
  5. Step 5: Solve for x
    x = 225,389,951.13/17,103.12
  6. Step 6: Final answer
    x = 13,178.29

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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.