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Finding the Fourth Proportional to 14,830.25, 22,249.02 and 4,442

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Solution

The fourth proportional to 14,830.25, 22,249.02 and 4,442 is: 6,664.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,830.25 : 22,249.02 = 4,442 : x
  2. Step 2: Convert to fraction form
    14,830.25/22,249.02 = 4,442/x
  3. Step 3: Cross multiply
    14,830.25x = 22,249.02 × 4,442
  4. Step 4: Simplify right side
    14,830.25x = 98,830,146.84
  5. Step 5: Solve for x
    x = 98,830,146.84/14,830.25
  6. Step 6: Final answer
    x = 6,664.09

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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.