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Finding the Fourth Proportional to 30,834.84, 42,553.20 and 17,405.28

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Solution

The fourth proportional to 30,834.84, 42,553.20 and 17,405.28 is: 24,019.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,834.84 : 42,553.20 = 17,405.28 : x
  2. Step 2: Convert to fraction form
    30,834.84/42,553.20 = 17,405.28/x
  3. Step 3: Cross multiply
    30,834.84x = 42,553.20 × 17,405.28
  4. Step 4: Simplify right side
    30,834.84x = 740,650,360.90
  5. Step 5: Solve for x
    x = 740,650,360.90/30,834.84
  6. Step 6: Final answer
    x = 24,019.92

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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.