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Finding the Fourth Proportional to 16,457.37, 24,689.71 and 6,463.08

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Solution

The fourth proportional to 16,457.37, 24,689.71 and 6,463.08 is: 9,696.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,457.37 : 24,689.71 = 6,463.08 : x
  2. Step 2: Convert to fraction form
    16,457.37/24,689.71 = 6,463.08/x
  3. Step 3: Cross multiply
    16,457.37x = 24,689.71 × 6,463.08
  4. Step 4: Simplify right side
    16,457.37x = 159,571,554.75
  5. Step 5: Solve for x
    x = 159,571,554.75/16,457.37
  6. Step 6: Final answer
    x = 9,696.05

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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.