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Finding the Fourth Proportional to 16,180.63, 24,263.65 and 9,520.30

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Solution

The fourth proportional to 16,180.63, 24,263.65 and 9,520.30 is: 14,276.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,180.63 : 24,263.65 = 9,520.30 : x
  2. Step 2: Convert to fraction form
    16,180.63/24,263.65 = 9,520.30/x
  3. Step 3: Cross multiply
    16,180.63x = 24,263.65 × 9,520.30
  4. Step 4: Simplify right side
    16,180.63x = 230,997,269.32
  5. Step 5: Solve for x
    x = 230,997,269.32/16,180.63
  6. Step 6: Final answer
    x = 14,276.16

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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.