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Finding the Fourth Proportional to 13,703.34, 18,911.15 and 7,735.22

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Solution

The fourth proportional to 13,703.34, 18,911.15 and 7,735.22 is: 10,674.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,703.34 : 18,911.15 = 7,735.22 : x
  2. Step 2: Convert to fraction form
    13,703.34/18,911.15 = 7,735.22/x
  3. Step 3: Cross multiply
    13,703.34x = 18,911.15 × 7,735.22
  4. Step 4: Simplify right side
    13,703.34x = 146,281,905.70
  5. Step 5: Solve for x
    x = 146,281,905.70/13,703.34
  6. Step 6: Final answer
    x = 10,674.91

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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.