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Finding the Fourth Proportional to 16,402.20, 24,602.44 and 4,714.96

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Solution

The fourth proportional to 16,402.20, 24,602.44 and 4,714.96 is: 7,072.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,402.20 : 24,602.44 = 4,714.96 : x
  2. Step 2: Convert to fraction form
    16,402.20/24,602.44 = 4,714.96/x
  3. Step 3: Cross multiply
    16,402.20x = 24,602.44 × 4,714.96
  4. Step 4: Simplify right side
    16,402.20x = 115,999,520.50
  5. Step 5: Solve for x
    x = 115,999,520.50/16,402.20
  6. Step 6: Final answer
    x = 7,072.19

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Why These Related Problems?

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