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Finding the Fourth Proportional to 21,337.02, 32,001.89 and 5,751

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Solution

The fourth proportional to 21,337.02, 32,001.89 and 5,751 is: 8,625.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,337.02 : 32,001.89 = 5,751 : x
  2. Step 2: Convert to fraction form
    21,337.02/32,001.89 = 5,751/x
  3. Step 3: Cross multiply
    21,337.02x = 32,001.89 × 5,751
  4. Step 4: Simplify right side
    21,337.02x = 184,042,840.64
  5. Step 5: Solve for x
    x = 184,042,840.64/21,337.02
  6. Step 6: Final answer
    x = 8,625.52

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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.