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Finding the Fourth Proportional to 30,453.96, 42,013.35 and 17,706.18

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Solution

The fourth proportional to 30,453.96, 42,013.35 and 17,706.18 is: 24,426.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,453.96 : 42,013.35 = 17,706.18 : x
  2. Step 2: Convert to fraction form
    30,453.96/42,013.35 = 17,706.18/x
  3. Step 3: Cross multiply
    30,453.96x = 42,013.35 × 17,706.18
  4. Step 4: Simplify right side
    30,453.96x = 743,895,937.50
  5. Step 5: Solve for x
    x = 743,895,937.50/30,453.96
  6. Step 6: Final answer
    x = 24,426.90

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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.