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Finding the Fourth Proportional to 14,685.12, 20,265.49 and 7,970.75

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Solution

The fourth proportional to 14,685.12, 20,265.49 and 7,970.75 is: 10,999.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,685.12 : 20,265.49 = 7,970.75 : x
  2. Step 2: Convert to fraction form
    14,685.12/20,265.49 = 7,970.75/x
  3. Step 3: Cross multiply
    14,685.12x = 20,265.49 × 7,970.75
  4. Step 4: Simplify right side
    14,685.12x = 161,531,131.64
  5. Step 5: Solve for x
    x = 161,531,131.64/14,685.12
  6. Step 6: Final answer
    x = 10,999.64

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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.