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Finding the Fourth Proportional to 21,675.59, 32,520.32 and 9,206.09

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Solution

The fourth proportional to 21,675.59, 32,520.32 and 9,206.09 is: 13,812.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,675.59 : 32,520.32 = 9,206.09 : x
  2. Step 2: Convert to fraction form
    21,675.59/32,520.32 = 9,206.09/x
  3. Step 3: Cross multiply
    21,675.59x = 32,520.32 × 9,206.09
  4. Step 4: Simplify right side
    21,675.59x = 299,384,784.12
  5. Step 5: Solve for x
    x = 299,384,784.12/21,675.59
  6. Step 6: Final answer
    x = 13,812.07

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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.