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Finding the Fourth Proportional to 30,873.64, 42,605.67 and 16,726.49

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Solution

The fourth proportional to 30,873.64, 42,605.67 and 16,726.49 is: 23,082.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,873.64 : 42,605.67 = 16,726.49 : x
  2. Step 2: Convert to fraction form
    30,873.64/42,605.67 = 16,726.49/x
  3. Step 3: Cross multiply
    30,873.64x = 42,605.67 × 16,726.49
  4. Step 4: Simplify right side
    30,873.64x = 712,643,016.54
  5. Step 5: Solve for x
    x = 712,643,016.54/30,873.64
  6. Step 6: Final answer
    x = 23,082.57

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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.