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Finding the Fourth Proportional to 30,602.64, 42,232.26 and 17,174.88

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Solution

The fourth proportional to 30,602.64, 42,232.26 and 17,174.88 is: 23,701.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,602.64 : 42,232.26 = 17,174.88 : x
  2. Step 2: Convert to fraction form
    30,602.64/42,232.26 = 17,174.88/x
  3. Step 3: Cross multiply
    30,602.64x = 42,232.26 × 17,174.88
  4. Step 4: Simplify right side
    30,602.64x = 725,333,997.63
  5. Step 5: Solve for x
    x = 725,333,997.63/30,602.64
  6. Step 6: Final answer
    x = 23,701.68

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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.