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Finding the Fourth Proportional to 14,912.40, 22,368.24 and 6,147.84

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Solution

The fourth proportional to 14,912.40, 22,368.24 and 6,147.84 is: 9,221.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,912.40 : 22,368.24 = 6,147.84 : x
  2. Step 2: Convert to fraction form
    14,912.40/22,368.24 = 6,147.84/x
  3. Step 3: Cross multiply
    14,912.40x = 22,368.24 × 6,147.84
  4. Step 4: Simplify right side
    14,912.40x = 137,516,360.60
  5. Step 5: Solve for x
    x = 137,516,360.60/14,912.40
  6. Step 6: Final answer
    x = 9,221.61

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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.