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Finding the Fourth Proportional to 14,978.16, 20,669.64 and 8,264.46

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Solution

The fourth proportional to 14,978.16, 20,669.64 and 8,264.46 is: 11,404.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,978.16 : 20,669.64 = 8,264.46 : x
  2. Step 2: Convert to fraction form
    14,978.16/20,669.64 = 8,264.46/x
  3. Step 3: Cross multiply
    14,978.16x = 20,669.64 × 8,264.46
  4. Step 4: Simplify right side
    14,978.16x = 170,823,412.99
  5. Step 5: Solve for x
    x = 170,823,412.99/14,978.16
  6. Step 6: Final answer
    x = 11,404.83

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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.