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Finding the Fourth Proportional to 16,276.12, 22,461.06 and 8,824.12

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Solution

The fourth proportional to 16,276.12, 22,461.06 and 8,824.12 is: 12,177.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,276.12 : 22,461.06 = 8,824.12 : x
  2. Step 2: Convert to fraction form
    16,276.12/22,461.06 = 8,824.12/x
  3. Step 3: Cross multiply
    16,276.12x = 22,461.06 × 8,824.12
  4. Step 4: Simplify right side
    16,276.12x = 198,199,088.77
  5. Step 5: Solve for x
    x = 198,199,088.77/16,276.12
  6. Step 6: Final answer
    x = 12,177.29

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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.