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Finding the Fourth Proportional to 21,714.72, 32,563.77 and 11,848.72

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Solution

The fourth proportional to 21,714.72, 32,563.77 and 11,848.72 is: 17,768.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,714.72 : 32,563.77 = 11,848.72 : x
  2. Step 2: Convert to fraction form
    21,714.72/32,563.77 = 11,848.72/x
  3. Step 3: Cross multiply
    21,714.72x = 32,563.77 × 11,848.72
  4. Step 4: Simplify right side
    21,714.72x = 385,838,992.87
  5. Step 5: Solve for x
    x = 385,838,992.87/21,714.72
  6. Step 6: Final answer
    x = 17,768.55

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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.