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Finding the Fourth Proportional to 30,174.08, 45,253.80 and 12,657

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Solution

The fourth proportional to 30,174.08, 45,253.80 and 12,657 is: 18,982.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,174.08 : 45,253.80 = 12,657 : x
  2. Step 2: Convert to fraction form
    30,174.08/45,253.80 = 12,657/x
  3. Step 3: Cross multiply
    30,174.08x = 45,253.80 × 12,657
  4. Step 4: Simplify right side
    30,174.08x = 572,777,346.60
  5. Step 5: Solve for x
    x = 572,777,346.60/30,174.08
  6. Step 6: Final answer
    x = 18,982.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.