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Finding the Fourth Proportional to 21,415.32, 32,122.86 and 5,832.90

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Solution

The fourth proportional to 21,415.32, 32,122.86 and 5,832.90 is: 8,749.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,415.32 : 32,122.86 = 5,832.90 : x
  2. Step 2: Convert to fraction form
    21,415.32/32,122.86 = 5,832.90/x
  3. Step 3: Cross multiply
    21,415.32x = 32,122.86 × 5,832.90
  4. Step 4: Simplify right side
    21,415.32x = 187,369,430.09
  5. Step 5: Solve for x
    x = 187,369,430.09/21,415.32
  6. Step 6: Final answer
    x = 8,749.32

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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.