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Finding the Fourth Proportional to 14,919, 20,588.22 and 8,295

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Solution

The fourth proportional to 14,919, 20,588.22 and 8,295 is: 11,447.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,919 : 20,588.22 = 8,295 : x
  2. Step 2: Convert to fraction form
    14,919/20,588.22 = 8,295/x
  3. Step 3: Cross multiply
    14,919x = 20,588.22 × 8,295
  4. Step 4: Simplify right side
    14,919x = 170,779,284.90
  5. Step 5: Solve for x
    x = 170,779,284.90/14,919
  6. Step 6: Final answer
    x = 11,447.10

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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.