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Finding the Fourth Proportional to 21,384.96, 32,080.32 and 7,530.72

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Solution

The fourth proportional to 21,384.96, 32,080.32 and 7,530.72 is: 11,297.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,384.96 : 32,080.32 = 7,530.72 : x
  2. Step 2: Convert to fraction form
    21,384.96/32,080.32 = 7,530.72/x
  3. Step 3: Cross multiply
    21,384.96x = 32,080.32 × 7,530.72
  4. Step 4: Simplify right side
    21,384.96x = 241,587,907.43
  5. Step 5: Solve for x
    x = 241,587,907.43/21,384.96
  6. Step 6: Final answer
    x = 11,297.09

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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.