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Finding the Fourth Proportional to 21,648.16, 32,490.68 and 8,509.72

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Solution

The fourth proportional to 21,648.16, 32,490.68 and 8,509.72 is: 12,771.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,648.16 : 32,490.68 = 8,509.72 : x
  2. Step 2: Convert to fraction form
    21,648.16/32,490.68 = 8,509.72/x
  3. Step 3: Cross multiply
    21,648.16x = 32,490.68 × 8,509.72
  4. Step 4: Simplify right side
    21,648.16x = 276,486,589.41
  5. Step 5: Solve for x
    x = 276,486,589.41/21,648.16
  6. Step 6: Final answer
    x = 12,771.83

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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.