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Finding the Fourth Proportional to 16,484.22, 24,714.81 and 8,154.06

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Solution

The fourth proportional to 16,484.22, 24,714.81 and 8,154.06 is: 12,225.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,484.22 : 24,714.81 = 8,154.06 : x
  2. Step 2: Convert to fraction form
    16,484.22/24,714.81 = 8,154.06/x
  3. Step 3: Cross multiply
    16,484.22x = 24,714.81 × 8,154.06
  4. Step 4: Simplify right side
    16,484.22x = 201,526,043.63
  5. Step 5: Solve for x
    x = 201,526,043.63/16,484.22
  6. Step 6: Final answer
    x = 12,225.39

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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.