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Finding the Fourth Proportional to 14,950.64, 22,405.76 and 5,711.60

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Solution

The fourth proportional to 14,950.64, 22,405.76 and 5,711.60 is: 8,559.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,950.64 : 22,405.76 = 5,711.60 : x
  2. Step 2: Convert to fraction form
    14,950.64/22,405.76 = 5,711.60/x
  3. Step 3: Cross multiply
    14,950.64x = 22,405.76 × 5,711.60
  4. Step 4: Simplify right side
    14,950.64x = 127,972,738.82
  5. Step 5: Solve for x
    x = 127,972,738.82/14,950.64
  6. Step 6: Final answer
    x = 8,559.68

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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.