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Finding the Fourth Proportional to 21,682.16, 32,527.84 and 7,641.62

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Solution

The fourth proportional to 21,682.16, 32,527.84 and 7,641.62 is: 11,464.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,682.16 : 32,527.84 = 7,641.62 : x
  2. Step 2: Convert to fraction form
    21,682.16/32,527.84 = 7,641.62/x
  3. Step 3: Cross multiply
    21,682.16x = 32,527.84 × 7,641.62
  4. Step 4: Simplify right side
    21,682.16x = 248,565,354.49
  5. Step 5: Solve for x
    x = 248,565,354.49/21,682.16
  6. Step 6: Final answer
    x = 11,464.05

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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.