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Finding the Fourth Proportional to 21,506.28, 32,271.86 and 9,025.18

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Solution

The fourth proportional to 21,506.28, 32,271.86 and 9,025.18 is: 13,542.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,506.28 : 32,271.86 = 9,025.18 : x
  2. Step 2: Convert to fraction form
    21,506.28/32,271.86 = 9,025.18/x
  3. Step 3: Cross multiply
    21,506.28x = 32,271.86 × 9,025.18
  4. Step 4: Simplify right side
    21,506.28x = 291,259,345.43
  5. Step 5: Solve for x
    x = 291,259,345.43/21,506.28
  6. Step 6: Final answer
    x = 13,542.99

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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.