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Finding the Fourth Proportional to 21,602.96, 32,405.80 and 6,812.40

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Solution

The fourth proportional to 21,602.96, 32,405.80 and 6,812.40 is: 10,219.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,602.96 : 32,405.80 = 6,812.40 : x
  2. Step 2: Convert to fraction form
    21,602.96/32,405.80 = 6,812.40/x
  3. Step 3: Cross multiply
    21,602.96x = 32,405.80 × 6,812.40
  4. Step 4: Simplify right side
    21,602.96x = 220,761,271.92
  5. Step 5: Solve for x
    x = 220,761,271.92/21,602.96
  6. Step 6: Final answer
    x = 10,219.03

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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.