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Finding the Fourth Proportional to 13,735.35, 18,953.49 and 7,767.45

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Solution

The fourth proportional to 13,735.35, 18,953.49 and 7,767.45 is: 10,718.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,735.35 : 18,953.49 = 7,767.45 : x
  2. Step 2: Convert to fraction form
    13,735.35/18,953.49 = 7,767.45/x
  3. Step 3: Cross multiply
    13,735.35x = 18,953.49 × 7,767.45
  4. Step 4: Simplify right side
    13,735.35x = 147,220,285.90
  5. Step 5: Solve for x
    x = 147,220,285.90/13,735.35
  6. Step 6: Final answer
    x = 10,718.35

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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.