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Finding the Fourth Proportional to 12,271.40, 18,381.72 and 6,410.24

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Solution

The fourth proportional to 12,271.40, 18,381.72 and 6,410.24 is: 9,602.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,271.40 : 18,381.72 = 6,410.24 : x
  2. Step 2: Convert to fraction form
    12,271.40/18,381.72 = 6,410.24/x
  3. Step 3: Cross multiply
    12,271.40x = 18,381.72 × 6,410.24
  4. Step 4: Simplify right side
    12,271.40x = 117,831,236.81
  5. Step 5: Solve for x
    x = 117,831,236.81/12,271.40
  6. Step 6: Final answer
    x = 9,602.10

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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.