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Finding the Fourth Proportional to 21,382.37, 32,073.56 and 5,800

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Solution

The fourth proportional to 21,382.37, 32,073.56 and 5,800 is: 8,700.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,382.37 : 32,073.56 = 5,800 : x
  2. Step 2: Convert to fraction form
    21,382.37/32,073.56 = 5,800/x
  3. Step 3: Cross multiply
    21,382.37x = 32,073.56 × 5,800
  4. Step 4: Simplify right side
    21,382.37x = 186,026,648
  5. Step 5: Solve for x
    x = 186,026,648/21,382.37
  6. Step 6: Final answer
    x = 8,700.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.