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Finding the Fourth Proportional to 16,131.90, 22,262.65 and 8,962.35

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Solution

The fourth proportional to 16,131.90, 22,262.65 and 8,962.35 is: 12,368.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,131.90 : 22,262.65 = 8,962.35 : x
  2. Step 2: Convert to fraction form
    16,131.90/22,262.65 = 8,962.35/x
  3. Step 3: Cross multiply
    16,131.90x = 22,262.65 × 8,962.35
  4. Step 4: Simplify right side
    16,131.90x = 199,525,638.82
  5. Step 5: Solve for x
    x = 199,525,638.82/16,131.90
  6. Step 6: Final answer
    x = 12,368.39

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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.