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Finding the Fourth Proportional to 21,457.81, 32,145.20 and 12,069.30

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Solution

The fourth proportional to 21,457.81, 32,145.20 and 12,069.30 is: 18,080.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,457.81 : 32,145.20 = 12,069.30 : x
  2. Step 2: Convert to fraction form
    21,457.81/32,145.20 = 12,069.30/x
  3. Step 3: Cross multiply
    21,457.81x = 32,145.20 × 12,069.30
  4. Step 4: Simplify right side
    21,457.81x = 387,970,235.71
  5. Step 5: Solve for x
    x = 387,970,235.71/21,457.81
  6. Step 6: Final answer
    x = 18,080.61

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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.