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Finding the Fourth Proportional to 16,414.80, 24,626.25 and 4,728.93

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Solution

The fourth proportional to 16,414.80, 24,626.25 and 4,728.93 is: 7,094.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,414.80 : 24,626.25 = 4,728.93 : x
  2. Step 2: Convert to fraction form
    16,414.80/24,626.25 = 4,728.93/x
  3. Step 3: Cross multiply
    16,414.80x = 24,626.25 × 4,728.93
  4. Step 4: Simplify right side
    16,414.80x = 116,455,812.41
  5. Step 5: Solve for x
    x = 116,455,812.41/16,414.80
  6. Step 6: Final answer
    x = 7,094.56

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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.