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Finding the Fourth Proportional to 30,625.86, 42,263.18 and 17,197.14

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Solution

The fourth proportional to 30,625.86, 42,263.18 and 17,197.14 is: 23,731.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,625.86 : 42,263.18 = 17,197.14 : x
  2. Step 2: Convert to fraction form
    30,625.86/42,263.18 = 17,197.14/x
  3. Step 3: Cross multiply
    30,625.86x = 42,263.18 × 17,197.14
  4. Step 4: Simplify right side
    30,625.86x = 726,805,823.31
  5. Step 5: Solve for x
    x = 726,805,823.31/30,625.86
  6. Step 6: Final answer
    x = 23,731.77

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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.