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Finding the Fourth Proportional to 14,515.99, 20,020.77 and 9,734.35

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Solution

The fourth proportional to 14,515.99, 20,020.77 and 9,734.35 is: 13,425.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,515.99 : 20,020.77 = 9,734.35 : x
  2. Step 2: Convert to fraction form
    14,515.99/20,020.77 = 9,734.35/x
  3. Step 3: Cross multiply
    14,515.99x = 20,020.77 × 9,734.35
  4. Step 4: Simplify right side
    14,515.99x = 194,889,182.45
  5. Step 5: Solve for x
    x = 194,889,182.45/14,515.99
  6. Step 6: Final answer
    x = 13,425.83

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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.