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Finding the Fourth Proportional to 14,635.69, 20,213.65 and 9,911.77

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Solution

The fourth proportional to 14,635.69, 20,213.65 and 9,911.77 is: 13,689.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,635.69 : 20,213.65 = 9,911.77 : x
  2. Step 2: Convert to fraction form
    14,635.69/20,213.65 = 9,911.77/x
  3. Step 3: Cross multiply
    14,635.69x = 20,213.65 × 9,911.77
  4. Step 4: Simplify right side
    14,635.69x = 200,353,011.52
  5. Step 5: Solve for x
    x = 200,353,011.52/14,635.69
  6. Step 6: Final answer
    x = 13,689.35

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