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Finding the Fourth Proportional to 17,102.70, 23,602.13 and 10,729.58

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Solution

The fourth proportional to 17,102.70, 23,602.13 and 10,729.58 is: 14,807.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,102.70 : 23,602.13 = 10,729.58 : x
  2. Step 2: Convert to fraction form
    17,102.70/23,602.13 = 10,729.58/x
  3. Step 3: Cross multiply
    17,102.70x = 23,602.13 × 10,729.58
  4. Step 4: Simplify right side
    17,102.70x = 253,240,770.35
  5. Step 5: Solve for x
    x = 253,240,770.35/17,102.70
  6. Step 6: Final answer
    x = 14,807.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.