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Finding the Fourth Proportional to 14,463.50, 21,696.42 and 4,972.02

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Solution

The fourth proportional to 14,463.50, 21,696.42 and 4,972.02 is: 7,458.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,463.50 : 21,696.42 = 4,972.02 : x
  2. Step 2: Convert to fraction form
    14,463.50/21,696.42 = 4,972.02/x
  3. Step 3: Cross multiply
    14,463.50x = 21,696.42 × 4,972.02
  4. Step 4: Simplify right side
    14,463.50x = 107,874,971.45
  5. Step 5: Solve for x
    x = 107,874,971.45/14,463.50
  6. Step 6: Final answer
    x = 7,458.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.