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Finding the Fourth Proportional to 14,946.09, 22,420.17 and 5,084.09

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Solution

The fourth proportional to 14,946.09, 22,420.17 and 5,084.09 is: 7,626.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,946.09 : 22,420.17 = 5,084.09 : x
  2. Step 2: Convert to fraction form
    14,946.09/22,420.17 = 5,084.09/x
  3. Step 3: Cross multiply
    14,946.09x = 22,420.17 × 5,084.09
  4. Step 4: Simplify right side
    14,946.09x = 113,986,182.83
  5. Step 5: Solve for x
    x = 113,986,182.83/14,946.09
  6. Step 6: Final answer
    x = 7,626.49

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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.