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Finding the Fourth Proportional to 16,276.14, 24,412.05 and 4,590.30

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Solution

The fourth proportional to 16,276.14, 24,412.05 and 4,590.30 is: 6,884.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,276.14 : 24,412.05 = 4,590.30 : x
  2. Step 2: Convert to fraction form
    16,276.14/24,412.05 = 4,590.30/x
  3. Step 3: Cross multiply
    16,276.14x = 24,412.05 × 4,590.30
  4. Step 4: Simplify right side
    16,276.14x = 112,058,633.12
  5. Step 5: Solve for x
    x = 112,058,633.12/16,276.14
  6. Step 6: Final answer
    x = 6,884.84

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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.