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Finding the Fourth Proportional to 13,385.77, 18,471.86 and 7,720.75

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Solution

The fourth proportional to 13,385.77, 18,471.86 and 7,720.75 is: 10,654.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,385.77 : 18,471.86 = 7,720.75 : x
  2. Step 2: Convert to fraction form
    13,385.77/18,471.86 = 7,720.75/x
  3. Step 3: Cross multiply
    13,385.77x = 18,471.86 × 7,720.75
  4. Step 4: Simplify right side
    13,385.77x = 142,616,574.49
  5. Step 5: Solve for x
    x = 142,616,574.49/13,385.77
  6. Step 6: Final answer
    x = 10,654.35

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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.