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Finding the Fourth Proportional to 21,378.56, 32,065.44 and 5,797.40

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Solution

The fourth proportional to 21,378.56, 32,065.44 and 5,797.40 is: 8,695.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,378.56 : 32,065.44 = 5,797.40 : x
  2. Step 2: Convert to fraction form
    21,378.56/32,065.44 = 5,797.40/x
  3. Step 3: Cross multiply
    21,378.56x = 32,065.44 × 5,797.40
  4. Step 4: Simplify right side
    21,378.56x = 185,896,181.86
  5. Step 5: Solve for x
    x = 185,896,181.86/21,378.56
  6. Step 6: Final answer
    x = 8,695.45

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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.