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Finding the Fourth Proportional to 12,457.56, 18,595.14 and 10,981.38

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Solution

The fourth proportional to 12,457.56, 18,595.14 and 10,981.38 is: 16,391.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,457.56 : 18,595.14 = 10,981.38 : x
  2. Step 2: Convert to fraction form
    12,457.56/18,595.14 = 10,981.38/x
  3. Step 3: Cross multiply
    12,457.56x = 18,595.14 × 10,981.38
  4. Step 4: Simplify right side
    12,457.56x = 204,200,298.49
  5. Step 5: Solve for x
    x = 204,200,298.49/12,457.56
  6. Step 6: Final answer
    x = 16,391.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.