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Finding the Fourth Proportional to 13,295.24, 18,340.14 and 7,705.16

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Solution

The fourth proportional to 13,295.24, 18,340.14 and 7,705.16 is: 10,628.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,295.24 : 18,340.14 = 7,705.16 : x
  2. Step 2: Convert to fraction form
    13,295.24/18,340.14 = 7,705.16/x
  3. Step 3: Cross multiply
    13,295.24x = 18,340.14 × 7,705.16
  4. Step 4: Simplify right side
    13,295.24x = 141,313,713.12
  5. Step 5: Solve for x
    x = 141,313,713.12/13,295.24
  6. Step 6: Final answer
    x = 10,628.90

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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.