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Finding the Fourth Proportional to 13,434.70, 18,534.58 and 7,768.42

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Solution

The fourth proportional to 13,434.70, 18,534.58 and 7,768.42 is: 10,717.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,434.70 : 18,534.58 = 7,768.42 : x
  2. Step 2: Convert to fraction form
    13,434.70/18,534.58 = 7,768.42/x
  3. Step 3: Cross multiply
    13,434.70x = 18,534.58 × 7,768.42
  4. Step 4: Simplify right side
    13,434.70x = 143,984,401.96
  5. Step 5: Solve for x
    x = 143,984,401.96/13,434.70
  6. Step 6: Final answer
    x = 10,717.35

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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.