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Finding the Fourth Proportional to 16,405.56, 24,620.31 and 6,547.64

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Solution

The fourth proportional to 16,405.56, 24,620.31 and 6,547.64 is: 9,826.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,405.56 : 24,620.31 = 6,547.64 : x
  2. Step 2: Convert to fraction form
    16,405.56/24,620.31 = 6,547.64/x
  3. Step 3: Cross multiply
    16,405.56x = 24,620.31 × 6,547.64
  4. Step 4: Simplify right side
    16,405.56x = 161,204,803.47
  5. Step 5: Solve for x
    x = 161,204,803.47/16,405.56
  6. Step 6: Final answer
    x = 9,826.23

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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.