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Finding the Fourth Proportional to 16,807.66, 25,208.24 and 6,416.98

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Solution

The fourth proportional to 16,807.66, 25,208.24 and 6,416.98 is: 9,624.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,807.66 : 25,208.24 = 6,416.98 : x
  2. Step 2: Convert to fraction form
    16,807.66/25,208.24 = 6,416.98/x
  3. Step 3: Cross multiply
    16,807.66x = 25,208.24 × 6,416.98
  4. Step 4: Simplify right side
    16,807.66x = 161,760,676.81
  5. Step 5: Solve for x
    x = 161,760,676.81/16,807.66
  6. Step 6: Final answer
    x = 9,624.22

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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.