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Finding the Fourth Proportional to 14,271.20, 21,402.96 and 5,036

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Solution

The fourth proportional to 14,271.20, 21,402.96 and 5,036 is: 7,552.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,271.20 : 21,402.96 = 5,036 : x
  2. Step 2: Convert to fraction form
    14,271.20/21,402.96 = 5,036/x
  3. Step 3: Cross multiply
    14,271.20x = 21,402.96 × 5,036
  4. Step 4: Simplify right side
    14,271.20x = 107,785,306.56
  5. Step 5: Solve for x
    x = 107,785,306.56/14,271.20
  6. Step 6: Final answer
    x = 7,552.64

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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.