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Finding the Fourth Proportional to 16,224.84, 22,390.44 and 9,514.44

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Solution

The fourth proportional to 16,224.84, 22,390.44 and 9,514.44 is: 13,130.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,224.84 : 22,390.44 = 9,514.44 : x
  2. Step 2: Convert to fraction form
    16,224.84/22,390.44 = 9,514.44/x
  3. Step 3: Cross multiply
    16,224.84x = 22,390.44 × 9,514.44
  4. Step 4: Simplify right side
    16,224.84x = 213,032,497.95
  5. Step 5: Solve for x
    x = 213,032,497.95/16,224.84
  6. Step 6: Final answer
    x = 13,130.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.