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Finding the Fourth Proportional to 14,693.25, 20,276.70 and 8,405.64

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Solution

The fourth proportional to 14,693.25, 20,276.70 and 8,405.64 is: 11,599.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,693.25 : 20,276.70 = 8,405.64 : x
  2. Step 2: Convert to fraction form
    14,693.25/20,276.70 = 8,405.64/x
  3. Step 3: Cross multiply
    14,693.25x = 20,276.70 × 8,405.64
  4. Step 4: Simplify right side
    14,693.25x = 170,438,640.59
  5. Step 5: Solve for x
    x = 170,438,640.59/14,693.25
  6. Step 6: Final answer
    x = 11,599.79

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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.