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Finding the Fourth Proportional to 24,456, 36,659.16 and 9,644.58

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Solution

The fourth proportional to 24,456, 36,659.16 and 9,644.58 is: 14,457.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,456 : 36,659.16 = 9,644.58 : x
  2. Step 2: Convert to fraction form
    24,456/36,659.16 = 9,644.58/x
  3. Step 3: Cross multiply
    24,456x = 36,659.16 × 9,644.58
  4. Step 4: Simplify right side
    24,456x = 353,562,201.35
  5. Step 5: Solve for x
    x = 353,562,201.35/24,456
  6. Step 6: Final answer
    x = 14,457.07

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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.