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Finding the Fourth Proportional to 30,914.76, 42,662.12 and 17,302.80

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Solution

The fourth proportional to 30,914.76, 42,662.12 and 17,302.80 is: 23,877.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,914.76 : 42,662.12 = 17,302.80 : x
  2. Step 2: Convert to fraction form
    30,914.76/42,662.12 = 17,302.80/x
  3. Step 3: Cross multiply
    30,914.76x = 42,662.12 × 17,302.80
  4. Step 4: Simplify right side
    30,914.76x = 738,174,129.94
  5. Step 5: Solve for x
    x = 738,174,129.94/30,914.76
  6. Step 6: Final answer
    x = 23,877.72

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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.