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Finding the Fourth Proportional to 13,707.63, 18,916.89 and 7,739.35

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Solution

The fourth proportional to 13,707.63, 18,916.89 and 7,739.35 is: 10,680.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,707.63 : 18,916.89 = 7,739.35 : x
  2. Step 2: Convert to fraction form
    13,707.63/18,916.89 = 7,739.35/x
  3. Step 3: Cross multiply
    13,707.63x = 18,916.89 × 7,739.35
  4. Step 4: Simplify right side
    13,707.63x = 146,404,399.84
  5. Step 5: Solve for x
    x = 146,404,399.84/13,707.63
  6. Step 6: Final answer
    x = 10,680.50

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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.