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Finding the Fourth Proportional to 30,861.64, 42,589.14 and 16,714.48

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Solution

The fourth proportional to 30,861.64, 42,589.14 and 16,714.48 is: 23,066.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,861.64 : 42,589.14 = 16,714.48 : x
  2. Step 2: Convert to fraction form
    30,861.64/42,589.14 = 16,714.48/x
  3. Step 3: Cross multiply
    30,861.64x = 42,589.14 × 16,714.48
  4. Step 4: Simplify right side
    30,861.64x = 711,855,328.75
  5. Step 5: Solve for x
    x = 711,855,328.75/30,861.64
  6. Step 6: Final answer
    x = 23,066.02

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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.