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Finding the Fourth Proportional to 21,381.37, 32,072.06 and 5,799

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Solution

The fourth proportional to 21,381.37, 32,072.06 and 5,799 is: 8,698.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,381.37 : 32,072.06 = 5,799 : x
  2. Step 2: Convert to fraction form
    21,381.37/32,072.06 = 5,799/x
  3. Step 3: Cross multiply
    21,381.37x = 32,072.06 × 5,799
  4. Step 4: Simplify right side
    21,381.37x = 185,985,875.94
  5. Step 5: Solve for x
    x = 185,985,875.94/21,381.37
  6. Step 6: Final answer
    x = 8,698.50

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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.