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Finding the Fourth Proportional to 13,629.32, 18,808.56 and 7,661

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Solution

The fourth proportional to 13,629.32, 18,808.56 and 7,661 is: 10,572.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,629.32 : 18,808.56 = 7,661 : x
  2. Step 2: Convert to fraction form
    13,629.32/18,808.56 = 7,661/x
  3. Step 3: Cross multiply
    13,629.32x = 18,808.56 × 7,661
  4. Step 4: Simplify right side
    13,629.32x = 144,092,378.16
  5. Step 5: Solve for x
    x = 144,092,378.16/13,629.32
  6. Step 6: Final answer
    x = 10,572.24

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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.