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Finding the Fourth Proportional to 14,912.68, 22,369.46 and 6,148.28

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Solution

The fourth proportional to 14,912.68, 22,369.46 and 6,148.28 is: 9,222.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,912.68 : 22,369.46 = 6,148.28 : x
  2. Step 2: Convert to fraction form
    14,912.68/22,369.46 = 6,148.28/x
  3. Step 3: Cross multiply
    14,912.68x = 22,369.46 × 6,148.28
  4. Step 4: Simplify right side
    14,912.68x = 137,533,703.53
  5. Step 5: Solve for x
    x = 137,533,703.53/14,912.68
  6. Step 6: Final answer
    x = 9,222.60

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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.