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Finding the Fourth Proportional to 13,669.77, 18,864.35 and 7,701.54

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Solution

The fourth proportional to 13,669.77, 18,864.35 and 7,701.54 is: 10,628.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,669.77 : 18,864.35 = 7,701.54 : x
  2. Step 2: Convert to fraction form
    13,669.77/18,864.35 = 7,701.54/x
  3. Step 3: Cross multiply
    13,669.77x = 18,864.35 × 7,701.54
  4. Step 4: Simplify right side
    13,669.77x = 145,284,546.10
  5. Step 5: Solve for x
    x = 145,284,546.10/13,669.77
  6. Step 6: Final answer
    x = 10,628.16

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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.