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Finding the Fourth Proportional to 14,633.54, 21,948.02 and 4,772.78

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Solution

The fourth proportional to 14,633.54, 21,948.02 and 4,772.78 is: 7,158.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,633.54 : 21,948.02 = 4,772.78 : x
  2. Step 2: Convert to fraction form
    14,633.54/21,948.02 = 4,772.78/x
  3. Step 3: Cross multiply
    14,633.54x = 21,948.02 × 4,772.78
  4. Step 4: Simplify right side
    14,633.54x = 104,753,070.90
  5. Step 5: Solve for x
    x = 104,753,070.90/14,633.54
  6. Step 6: Final answer
    x = 7,158.42

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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.