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Finding the Fourth Proportional to 16,131.02, 22,256.90 and 9,412.80

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Solution

The fourth proportional to 16,131.02, 22,256.90 and 9,412.80 is: 12,987.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,131.02 : 22,256.90 = 9,412.80 : x
  2. Step 2: Convert to fraction form
    16,131.02/22,256.90 = 9,412.80/x
  3. Step 3: Cross multiply
    16,131.02x = 22,256.90 × 9,412.80
  4. Step 4: Simplify right side
    16,131.02x = 209,499,748.32
  5. Step 5: Solve for x
    x = 209,499,748.32/16,131.02
  6. Step 6: Final answer
    x = 12,987.38

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Why These Related Problems?

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