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Finding the Fourth Proportional to 16,461.32, 24,656.32 and 10,222.82

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Solution

The fourth proportional to 16,461.32, 24,656.32 and 10,222.82 is: 15,312.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,461.32 : 24,656.32 = 10,222.82 : x
  2. Step 2: Convert to fraction form
    16,461.32/24,656.32 = 10,222.82/x
  3. Step 3: Cross multiply
    16,461.32x = 24,656.32 × 10,222.82
  4. Step 4: Simplify right side
    16,461.32x = 252,057,121.22
  5. Step 5: Solve for x
    x = 252,057,121.22/16,461.32
  6. Step 6: Final answer
    x = 15,312.08

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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.