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Finding the Fourth Proportional to 16,315.63, 22,514.71 and 9,241.59

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Solution

The fourth proportional to 16,315.63, 22,514.71 and 9,241.59 is: 12,752.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,315.63 : 22,514.71 = 9,241.59 : x
  2. Step 2: Convert to fraction form
    16,315.63/22,514.71 = 9,241.59/x
  3. Step 3: Cross multiply
    16,315.63x = 22,514.71 × 9,241.59
  4. Step 4: Simplify right side
    16,315.63x = 208,071,797.44
  5. Step 5: Solve for x
    x = 208,071,797.44/16,315.63
  6. Step 6: Final answer
    x = 12,752.91

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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.