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Finding the Fourth Proportional to 13,751.66, 18,957.89 and 9,771.32

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Solution

The fourth proportional to 13,751.66, 18,957.89 and 9,771.32 is: 13,470.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,751.66 : 18,957.89 = 9,771.32 : x
  2. Step 2: Convert to fraction form
    13,751.66/18,957.89 = 9,771.32/x
  3. Step 3: Cross multiply
    13,751.66x = 18,957.89 × 9,771.32
  4. Step 4: Simplify right side
    13,751.66x = 185,243,539.35
  5. Step 5: Solve for x
    x = 185,243,539.35/13,751.66
  6. Step 6: Final answer
    x = 13,470.64

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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.