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Finding the Fourth Proportional to 16,126.48, 24,137.88 and 12,106

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Solution

The fourth proportional to 16,126.48, 24,137.88 and 12,106 is: 18,120.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,126.48 : 24,137.88 = 12,106 : x
  2. Step 2: Convert to fraction form
    16,126.48/24,137.88 = 12,106/x
  3. Step 3: Cross multiply
    16,126.48x = 24,137.88 × 12,106
  4. Step 4: Simplify right side
    16,126.48x = 292,213,175.28
  5. Step 5: Solve for x
    x = 292,213,175.28/16,126.48
  6. Step 6: Final answer
    x = 18,120.08

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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.