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Finding the Fourth Proportional to 17,102.59, 23,602.62 and 9,548.90

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Solution

The fourth proportional to 17,102.59, 23,602.62 and 9,548.90 is: 13,178.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,102.59 : 23,602.62 = 9,548.90 : x
  2. Step 2: Convert to fraction form
    17,102.59/23,602.62 = 9,548.90/x
  3. Step 3: Cross multiply
    17,102.59x = 23,602.62 × 9,548.90
  4. Step 4: Simplify right side
    17,102.59x = 225,379,058.12
  5. Step 5: Solve for x
    x = 225,379,058.12/17,102.59
  6. Step 6: Final answer
    x = 13,178.07

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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.