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Finding the Fourth Proportional to 13,895.28, 20,853.54 and 9,708

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Solution

The fourth proportional to 13,895.28, 20,853.54 and 9,708 is: 14,569.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,895.28 : 20,853.54 = 9,708 : x
  2. Step 2: Convert to fraction form
    13,895.28/20,853.54 = 9,708/x
  3. Step 3: Cross multiply
    13,895.28x = 20,853.54 × 9,708
  4. Step 4: Simplify right side
    13,895.28x = 202,446,166.32
  5. Step 5: Solve for x
    x = 202,446,166.32/13,895.28
  6. Step 6: Final answer
    x = 14,569.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.