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Finding the Fourth Proportional to 23,446.96, 32,356.55 and 12,836.61

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Solution

The fourth proportional to 23,446.96, 32,356.55 and 12,836.61 is: 17,714.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,446.96 : 32,356.55 = 12,836.61 : x
  2. Step 2: Convert to fraction form
    23,446.96/32,356.55 = 12,836.61/x
  3. Step 3: Cross multiply
    23,446.96x = 32,356.55 × 12,836.61
  4. Step 4: Simplify right side
    23,446.96x = 415,348,445.39
  5. Step 5: Solve for x
    x = 415,348,445.39/23,446.96
  6. Step 6: Final answer
    x = 17,714.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.