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Finding the Fourth Proportional to 14,682.97, 22,026.75 and 4,820

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Solution

The fourth proportional to 14,682.97, 22,026.75 and 4,820 is: 7,230.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,682.97 : 22,026.75 = 4,820 : x
  2. Step 2: Convert to fraction form
    14,682.97/22,026.75 = 4,820/x
  3. Step 3: Cross multiply
    14,682.97x = 22,026.75 × 4,820
  4. Step 4: Simplify right side
    14,682.97x = 106,168,935
  5. Step 5: Solve for x
    x = 106,168,935/14,682.97
  6. Step 6: Final answer
    x = 7,230.75

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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.