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Finding the Fourth Proportional to 23,605.76, 35,446.26 and 13,752.20

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Solution

The fourth proportional to 23,605.76, 35,446.26 and 13,752.20 is: 20,650.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,605.76 : 35,446.26 = 13,752.20 : x
  2. Step 2: Convert to fraction form
    23,605.76/35,446.26 = 13,752.20/x
  3. Step 3: Cross multiply
    23,605.76x = 35,446.26 × 13,752.20
  4. Step 4: Simplify right side
    23,605.76x = 487,464,056.77
  5. Step 5: Solve for x
    x = 487,464,056.77/23,605.76
  6. Step 6: Final answer
    x = 20,650.22

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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.