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Finding the Fourth Proportional to 14,798.28, 20,421.96 and 8,511

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Solution

The fourth proportional to 14,798.28, 20,421.96 and 8,511 is: 11,745.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,798.28 : 20,421.96 = 8,511 : x
  2. Step 2: Convert to fraction form
    14,798.28/20,421.96 = 8,511/x
  3. Step 3: Cross multiply
    14,798.28x = 20,421.96 × 8,511
  4. Step 4: Simplify right side
    14,798.28x = 173,811,301.56
  5. Step 5: Solve for x
    x = 173,811,301.56/14,798.28
  6. Step 6: Final answer
    x = 11,745.37

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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.