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Finding the Fourth Proportional to 21,352.56, 32,030.38 and 8,204.94

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Solution

The fourth proportional to 21,352.56, 32,030.38 and 8,204.94 is: 12,308.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,352.56 : 32,030.38 = 8,204.94 : x
  2. Step 2: Convert to fraction form
    21,352.56/32,030.38 = 8,204.94/x
  3. Step 3: Cross multiply
    21,352.56x = 32,030.38 × 8,204.94
  4. Step 4: Simplify right side
    21,352.56x = 262,807,346.08
  5. Step 5: Solve for x
    x = 262,807,346.08/21,352.56
  6. Step 6: Final answer
    x = 12,308.00

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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.