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Finding the Fourth Proportional to 30,954.80, 42,718.24 and 17,526

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Solution

The fourth proportional to 30,954.80, 42,718.24 and 17,526 is: 24,186.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,954.80 : 42,718.24 = 17,526 : x
  2. Step 2: Convert to fraction form
    30,954.80/42,718.24 = 17,526/x
  3. Step 3: Cross multiply
    30,954.80x = 42,718.24 × 17,526
  4. Step 4: Simplify right side
    30,954.80x = 748,679,874.24
  5. Step 5: Solve for x
    x = 748,679,874.24/30,954.80
  6. Step 6: Final answer
    x = 24,186.23

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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.