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Finding the Fourth Proportional to 12,457.68, 18,689.49 and 4,666.56

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Solution

The fourth proportional to 12,457.68, 18,689.49 and 4,666.56 is: 7,000.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,457.68 : 18,689.49 = 4,666.56 : x
  2. Step 2: Convert to fraction form
    12,457.68/18,689.49 = 4,666.56/x
  3. Step 3: Cross multiply
    12,457.68x = 18,689.49 × 4,666.56
  4. Step 4: Simplify right side
    12,457.68x = 87,215,626.45
  5. Step 5: Solve for x
    x = 87,215,626.45/12,457.68
  6. Step 6: Final answer
    x = 7,000.95

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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.