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Finding the Fourth Proportional to 14,540.40, 21,814.65 and 7,145.10

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Solution

The fourth proportional to 14,540.40, 21,814.65 and 7,145.10 is: 10,719.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,540.40 : 21,814.65 = 7,145.10 : x
  2. Step 2: Convert to fraction form
    14,540.40/21,814.65 = 7,145.10/x
  3. Step 3: Cross multiply
    14,540.40x = 21,814.65 × 7,145.10
  4. Step 4: Simplify right side
    14,540.40x = 155,867,855.72
  5. Step 5: Solve for x
    x = 155,867,855.72/14,540.40
  6. Step 6: Final answer
    x = 10,719.64

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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.