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Finding the Fourth Proportional to 14,324.67, 19,767.96 and 8,037

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Solution

The fourth proportional to 14,324.67, 19,767.96 and 8,037 is: 11,091.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,324.67 : 19,767.96 = 8,037 : x
  2. Step 2: Convert to fraction form
    14,324.67/19,767.96 = 8,037/x
  3. Step 3: Cross multiply
    14,324.67x = 19,767.96 × 8,037
  4. Step 4: Simplify right side
    14,324.67x = 158,875,094.52
  5. Step 5: Solve for x
    x = 158,875,094.52/14,324.67
  6. Step 6: Final answer
    x = 11,091.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.