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Finding the Fourth Proportional to 21,423.51, 32,118.62 and 8,096.29

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Solution

The fourth proportional to 21,423.51, 32,118.62 and 8,096.29 is: 12,138.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,423.51 : 32,118.62 = 8,096.29 : x
  2. Step 2: Convert to fraction form
    21,423.51/32,118.62 = 8,096.29/x
  3. Step 3: Cross multiply
    21,423.51x = 32,118.62 × 8,096.29
  4. Step 4: Simplify right side
    21,423.51x = 260,041,541.14
  5. Step 5: Solve for x
    x = 260,041,541.14/21,423.51
  6. Step 6: Final answer
    x = 12,138.14

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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.