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Finding the Fourth Proportional to 30,456.96, 42,021.12 and 17,026.32

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Solution

The fourth proportional to 30,456.96, 42,021.12 and 17,026.32 is: 23,491.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,456.96 : 42,021.12 = 17,026.32 : x
  2. Step 2: Convert to fraction form
    30,456.96/42,021.12 = 17,026.32/x
  3. Step 3: Cross multiply
    30,456.96x = 42,021.12 × 17,026.32
  4. Step 4: Simplify right side
    30,456.96x = 715,465,035.88
  5. Step 5: Solve for x
    x = 715,465,035.88/30,456.96
  6. Step 6: Final answer
    x = 23,491.02

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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.