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Finding the Fourth Proportional to 12,005.80, 18,014.10 and 5,428.60

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Solution

The fourth proportional to 12,005.80, 18,014.10 and 5,428.60 is: 8,145.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,005.80 : 18,014.10 = 5,428.60 : x
  2. Step 2: Convert to fraction form
    12,005.80/18,014.10 = 5,428.60/x
  3. Step 3: Cross multiply
    12,005.80x = 18,014.10 × 5,428.60
  4. Step 4: Simplify right side
    12,005.80x = 97,791,343.26
  5. Step 5: Solve for x
    x = 97,791,343.26/12,005.80
  6. Step 6: Final answer
    x = 8,145.34

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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.