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Finding the Fourth Proportional to 13,709.63, 18,917.24 and 7,741.16

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Solution

The fourth proportional to 13,709.63, 18,917.24 and 7,741.16 is: 10,681.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,709.63 : 18,917.24 = 7,741.16 : x
  2. Step 2: Convert to fraction form
    13,709.63/18,917.24 = 7,741.16/x
  3. Step 3: Cross multiply
    13,709.63x = 18,917.24 × 7,741.16
  4. Step 4: Simplify right side
    13,709.63x = 146,441,248.31
  5. Step 5: Solve for x
    x = 146,441,248.31/13,709.63
  6. Step 6: Final answer
    x = 10,681.64

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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.