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Finding the Fourth Proportional to 17,102.56, 23,601.64 and 10,029.12

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Solution

The fourth proportional to 17,102.56, 23,601.64 and 10,029.12 is: 13,840.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,102.56 : 23,601.64 = 10,029.12 : x
  2. Step 2: Convert to fraction form
    17,102.56/23,601.64 = 10,029.12/x
  3. Step 3: Cross multiply
    17,102.56x = 23,601.64 × 10,029.12
  4. Step 4: Simplify right side
    17,102.56x = 236,703,679.76
  5. Step 5: Solve for x
    x = 236,703,679.76/17,102.56
  6. Step 6: Final answer
    x = 13,840.25

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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.