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Finding the Fourth Proportional to 21,602.46, 32,402.60 and 8,457.24

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Solution

The fourth proportional to 21,602.46, 32,402.60 and 8,457.24 is: 12,685.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,602.46 : 32,402.60 = 8,457.24 : x
  2. Step 2: Convert to fraction form
    21,602.46/32,402.60 = 8,457.24/x
  3. Step 3: Cross multiply
    21,602.46x = 32,402.60 × 8,457.24
  4. Step 4: Simplify right side
    21,602.46x = 274,036,402.81
  5. Step 5: Solve for x
    x = 274,036,402.81/21,602.46
  6. Step 6: Final answer
    x = 12,685.43

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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.