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Finding the Fourth Proportional to 21,709.08, 32,563.70 and 5,293.08

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Solution

The fourth proportional to 21,709.08, 32,563.70 and 5,293.08 is: 7,939.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,709.08 : 32,563.70 = 5,293.08 : x
  2. Step 2: Convert to fraction form
    21,709.08/32,563.70 = 5,293.08/x
  3. Step 3: Cross multiply
    21,709.08x = 32,563.70 × 5,293.08
  4. Step 4: Simplify right side
    21,709.08x = 172,362,269.20
  5. Step 5: Solve for x
    x = 172,362,269.20/21,709.08
  6. Step 6: Final answer
    x = 7,939.64

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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.