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Finding the Fourth Proportional to 12,271.74, 18,407.59 and 3,952.40

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Solution

The fourth proportional to 12,271.74, 18,407.59 and 3,952.40 is: 5,928.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,271.74 : 18,407.59 = 3,952.40 : x
  2. Step 2: Convert to fraction form
    12,271.74/18,407.59 = 3,952.40/x
  3. Step 3: Cross multiply
    12,271.74x = 18,407.59 × 3,952.40
  4. Step 4: Simplify right side
    12,271.74x = 72,754,056.80
  5. Step 5: Solve for x
    x = 72,754,056.80/12,271.74
  6. Step 6: Final answer
    x = 5,928.59

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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.