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Finding the Fourth Proportional to 21,832.44, 32,750.64 and 6,038.46

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Solution

The fourth proportional to 21,832.44, 32,750.64 and 6,038.46 is: 9,058.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,832.44 : 32,750.64 = 6,038.46 : x
  2. Step 2: Convert to fraction form
    21,832.44/32,750.64 = 6,038.46/x
  3. Step 3: Cross multiply
    21,832.44x = 32,750.64 × 6,038.46
  4. Step 4: Simplify right side
    21,832.44x = 197,763,429.61
  5. Step 5: Solve for x
    x = 197,763,429.61/21,832.44
  6. Step 6: Final answer
    x = 9,058.24

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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.