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Finding the Fourth Proportional to 16,457.40, 24,685.99 and 6,596.54

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Solution

The fourth proportional to 16,457.40, 24,685.99 and 6,596.54 is: 9,894.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,457.40 : 24,685.99 = 6,596.54 : x
  2. Step 2: Convert to fraction form
    16,457.40/24,685.99 = 6,596.54/x
  3. Step 3: Cross multiply
    16,457.40x = 24,685.99 × 6,596.54
  4. Step 4: Simplify right side
    16,457.40x = 162,842,091.68
  5. Step 5: Solve for x
    x = 162,842,091.68/16,457.40
  6. Step 6: Final answer
    x = 9,894.76

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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.