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Finding the Fourth Proportional to 14,950.36, 22,414.56 and 7,164.64

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Solution

The fourth proportional to 14,950.36, 22,414.56 and 7,164.64 is: 10,741.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,950.36 : 22,414.56 = 7,164.64 : x
  2. Step 2: Convert to fraction form
    14,950.36/22,414.56 = 7,164.64/x
  3. Step 3: Cross multiply
    14,950.36x = 22,414.56 × 7,164.64
  4. Step 4: Simplify right side
    14,950.36x = 160,592,253.16
  5. Step 5: Solve for x
    x = 160,592,253.16/14,950.36
  6. Step 6: Final answer
    x = 10,741.70

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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.